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Finding the Fourth Proportional to 272,224.68, 408,476.70 and 112,419.24

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Solution

The fourth proportional to 272,224.68, 408,476.70 and 112,419.24 is: 168,686.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,224.68 : 408,476.70 = 112,419.24 : x
  2. Step 2: Convert to fraction form
    272,224.68/408,476.70 = 112,419.24/x
  3. Step 3: Cross multiply
    272,224.68x = 408,476.70 × 112,419.24
  4. Step 4: Simplify right side
    272,224.68x = 45,920,640,171.71
  5. Step 5: Solve for x
    x = 45,920,640,171.71/272,224.68
  6. Step 6: Final answer
    x = 168,686.54

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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.