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Finding the Fourth Proportional to 141,193.20, 194,833.92 and 77,529.60

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Solution

The fourth proportional to 141,193.20, 194,833.92 and 77,529.60 is: 106,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.20 : 194,833.92 = 77,529.60 : x
  2. Step 2: Convert to fraction form
    141,193.20/194,833.92 = 77,529.60/x
  3. Step 3: Cross multiply
    141,193.20x = 194,833.92 × 77,529.60
  4. Step 4: Simplify right side
    141,193.20x = 15,105,395,884.03
  5. Step 5: Solve for x
    x = 15,105,395,884.03/141,193.20
  6. Step 6: Final answer
    x = 106,983.88

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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.