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Finding the Fourth Proportional to 176,695,164.91, 264,697,944.34 and 137,650,798.43

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Solution

The fourth proportional to 176,695,164.91, 264,697,944.34 and 137,650,798.43 is: 206,207,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,695,164.91 : 264,697,944.34 = 137,650,798.43 : x
  2. Step 2: Convert to fraction form
    176,695,164.91/264,697,944.34 = 137,650,798.43/x
  3. Step 3: Cross multiply
    176,695,164.91x = 264,697,944.34 × 137,650,798.43
  4. Step 4: Simplify right side
    176,695,164.91x = 36,435,883,381,180,704
  5. Step 5: Solve for x
    x = 36,435,883,381,180,704/176,695,164.91
  6. Step 6: Final answer
    x = 206,207,585.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.