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Finding the Fourth Proportional to 176,462.60, 264,798.06 and 69,857

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Solution

The fourth proportional to 176,462.60, 264,798.06 and 69,857 is: 104,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,462.60 : 264,798.06 = 69,857 : x
  2. Step 2: Convert to fraction form
    176,462.60/264,798.06 = 69,857/x
  3. Step 3: Cross multiply
    176,462.60x = 264,798.06 × 69,857
  4. Step 4: Simplify right side
    176,462.60x = 18,497,998,077.42
  5. Step 5: Solve for x
    x = 18,497,998,077.42/176,462.60
  6. Step 6: Final answer
    x = 104,826.73

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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.