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Finding the Fourth Proportional to 102,191.16, 141,007.32 and 63,946.20

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Solution

The fourth proportional to 102,191.16, 141,007.32 and 63,946.20 is: 88,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,191.16 : 141,007.32 = 63,946.20 : x
  2. Step 2: Convert to fraction form
    102,191.16/141,007.32 = 63,946.20/x
  3. Step 3: Cross multiply
    102,191.16x = 141,007.32 × 63,946.20
  4. Step 4: Simplify right side
    102,191.16x = 9,016,882,286.18
  5. Step 5: Solve for x
    x = 9,016,882,286.18/102,191.16
  6. Step 6: Final answer
    x = 88,235.44

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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.