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Finding the Fourth Proportional to 272,158.20, 407,470.50 and 205,386.12

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Solution

The fourth proportional to 272,158.20, 407,470.50 and 205,386.12 is: 307,500.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,158.20 : 407,470.50 = 205,386.12 : x
  2. Step 2: Convert to fraction form
    272,158.20/407,470.50 = 205,386.12/x
  3. Step 3: Cross multiply
    272,158.20x = 407,470.50 × 205,386.12
  4. Step 4: Simplify right side
    272,158.20x = 83,688,785,009.46
  5. Step 5: Solve for x
    x = 83,688,785,009.46/272,158.20
  6. Step 6: Final answer
    x = 307,500.51

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