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Finding the Fourth Proportional to 129,145.30, 178,219.31 and 71,783.12

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Solution

The fourth proportional to 129,145.30, 178,219.31 and 71,783.12 is: 99,060.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,145.30 : 178,219.31 = 71,783.12 : x
  2. Step 2: Convert to fraction form
    129,145.30/178,219.31 = 71,783.12/x
  3. Step 3: Cross multiply
    129,145.30x = 178,219.31 × 71,783.12
  4. Step 4: Simplify right side
    129,145.30x = 12,793,138,202.68
  5. Step 5: Solve for x
    x = 12,793,138,202.68/129,145.30
  6. Step 6: Final answer
    x = 99,060.04

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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.