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Finding the Fourth Proportional to 150,387.60, 207,534.93 and 82,404.02

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Solution

The fourth proportional to 150,387.60, 207,534.93 and 82,404.02 is: 113,717.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,387.60 : 207,534.93 = 82,404.02 : x
  2. Step 2: Convert to fraction form
    150,387.60/207,534.93 = 82,404.02/x
  3. Step 3: Cross multiply
    150,387.60x = 207,534.93 × 82,404.02
  4. Step 4: Simplify right side
    150,387.60x = 17,101,712,522.42
  5. Step 5: Solve for x
    x = 17,101,712,522.42/150,387.60
  6. Step 6: Final answer
    x = 113,717.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.