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Finding the Fourth Proportional to 141,591, 195,393.24 and 77,927.52

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Solution

The fourth proportional to 141,591, 195,393.24 and 77,927.52 is: 107,538.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,591 : 195,393.24 = 77,927.52 : x
  2. Step 2: Convert to fraction form
    141,591/195,393.24 = 77,927.52/x
  3. Step 3: Cross multiply
    141,591x = 195,393.24 × 77,927.52
  4. Step 4: Simplify right side
    141,591x = 15,226,510,617.96
  5. Step 5: Solve for x
    x = 15,226,510,617.96/141,591
  6. Step 6: Final answer
    x = 107,538.69

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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.