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Finding the Fourth Proportional to 129,141.90, 178,251 and 83,817.24

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Solution

The fourth proportional to 129,141.90, 178,251 and 83,817.24 is: 115,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,141.90 : 178,251 = 83,817.24 : x
  2. Step 2: Convert to fraction form
    129,141.90/178,251 = 83,817.24/x
  3. Step 3: Cross multiply
    129,141.90x = 178,251 × 83,817.24
  4. Step 4: Simplify right side
    129,141.90x = 14,940,506,847.24
  5. Step 5: Solve for x
    x = 14,940,506,847.24/129,141.90
  6. Step 6: Final answer
    x = 115,690.62

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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.