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Finding the Fourth Proportional to 129,133.88, 178,209.34 and 71,774.36

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Solution

The fourth proportional to 129,133.88, 178,209.34 and 71,774.36 is: 99,051.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,133.88 : 178,209.34 = 71,774.36 : x
  2. Step 2: Convert to fraction form
    129,133.88/178,209.34 = 71,774.36/x
  3. Step 3: Cross multiply
    129,133.88x = 178,209.34 × 71,774.36
  4. Step 4: Simplify right side
    129,133.88x = 12,790,861,324.52
  5. Step 5: Solve for x
    x = 12,790,861,324.52/129,133.88
  6. Step 6: Final answer
    x = 99,051.17

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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.