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Finding the Fourth Proportional to 129,002.36, 178,027.67 and 71,642.57

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Solution

The fourth proportional to 129,002.36, 178,027.67 and 71,642.57 is: 98,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,002.36 : 178,027.67 = 71,642.57 : x
  2. Step 2: Convert to fraction form
    129,002.36/178,027.67 = 71,642.57/x
  3. Step 3: Cross multiply
    129,002.36x = 178,027.67 × 71,642.57
  4. Step 4: Simplify right side
    129,002.36x = 12,754,359,896.77
  5. Step 5: Solve for x
    x = 12,754,359,896.77/129,002.36
  6. Step 6: Final answer
    x = 98,869.20

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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.