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Finding the Fourth Proportional to 176,102.70, 264,218.85 and 70,932.30

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Solution

The fourth proportional to 176,102.70, 264,218.85 and 70,932.30 is: 106,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,102.70 : 264,218.85 = 70,932.30 : x
  2. Step 2: Convert to fraction form
    176,102.70/264,218.85 = 70,932.30/x
  3. Step 3: Cross multiply
    176,102.70x = 264,218.85 × 70,932.30
  4. Step 4: Simplify right side
    176,102.70x = 18,741,650,733.86
  5. Step 5: Solve for x
    x = 18,741,650,733.86/176,102.70
  6. Step 6: Final answer
    x = 106,424.55

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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.