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Finding the Fourth Proportional to 141,098.16, 194,720.16 and 77,439.42

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Solution

The fourth proportional to 141,098.16, 194,720.16 and 77,439.42 is: 106,868.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,098.16 : 194,720.16 = 77,439.42 : x
  2. Step 2: Convert to fraction form
    141,098.16/194,720.16 = 77,439.42/x
  3. Step 3: Cross multiply
    141,098.16x = 194,720.16 × 77,439.42
  4. Step 4: Simplify right side
    141,098.16x = 15,079,016,252.71
  5. Step 5: Solve for x
    x = 15,079,016,252.71/141,098.16
  6. Step 6: Final answer
    x = 106,868.98

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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.