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Finding the Fourth Proportional to 272,562.10, 409,086.15 and 160,101.70

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Solution

The fourth proportional to 272,562.10, 409,086.15 and 160,101.70 is: 240,295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,562.10 : 409,086.15 = 160,101.70 : x
  2. Step 2: Convert to fraction form
    272,562.10/409,086.15 = 160,101.70/x
  3. Step 3: Cross multiply
    272,562.10x = 409,086.15 × 160,101.70
  4. Step 4: Simplify right side
    272,562.10x = 65,495,388,061.46
  5. Step 5: Solve for x
    x = 65,495,388,061.46/272,562.10
  6. Step 6: Final answer
    x = 240,295.29

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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.