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Finding the Fourth Proportional to 150,591.78, 207,816.78 and 83,523.78

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Solution

The fourth proportional to 150,591.78, 207,816.78 and 83,523.78 is: 115,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,591.78 : 207,816.78 = 83,523.78 : x
  2. Step 2: Convert to fraction form
    150,591.78/207,816.78 = 83,523.78/x
  3. Step 3: Cross multiply
    150,591.78x = 207,816.78 × 83,523.78
  4. Step 4: Simplify right side
    150,591.78x = 17,357,643,013.03
  5. Step 5: Solve for x
    x = 17,357,643,013.03/150,591.78
  6. Step 6: Final answer
    x = 115,262.88

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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.