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Finding the Fourth Proportional to 178,542.70, 267,829.79 and 66,224.16

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Solution

The fourth proportional to 178,542.70, 267,829.79 and 66,224.16 is: 99,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542.70 : 267,829.79 = 66,224.16 : x
  2. Step 2: Convert to fraction form
    178,542.70/267,829.79 = 66,224.16/x
  3. Step 3: Cross multiply
    178,542.70x = 267,829.79 × 66,224.16
  4. Step 4: Simplify right side
    178,542.70x = 17,736,802,534.61
  5. Step 5: Solve for x
    x = 17,736,802,534.61/178,542.70
  6. Step 6: Final answer
    x = 99,342.08

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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.