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Finding the Fourth Proportional to 150,682.50, 207,951.57 and 83,614.50

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Solution

The fourth proportional to 150,682.50, 207,951.57 and 83,614.50 is: 115,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,682.50 : 207,951.57 = 83,614.50 : x
  2. Step 2: Convert to fraction form
    150,682.50/207,951.57 = 83,614.50/x
  3. Step 3: Cross multiply
    150,682.50x = 207,951.57 × 83,614.50
  4. Step 4: Simplify right side
    150,682.50x = 17,387,766,549.77
  5. Step 5: Solve for x
    x = 17,387,766,549.77/150,682.50
  6. Step 6: Final answer
    x = 115,393.40

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