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Finding the Fourth Proportional to 129,204.42, 178,311.69 and 71,854.13

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Solution

The fourth proportional to 129,204.42, 178,311.69 and 71,854.13 is: 99,164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,204.42 : 178,311.69 = 71,854.13 : x
  2. Step 2: Convert to fraction form
    129,204.42/178,311.69 = 71,854.13/x
  3. Step 3: Cross multiply
    129,204.42x = 178,311.69 × 71,854.13
  4. Step 4: Simplify right side
    129,204.42x = 12,812,430,462.22
  5. Step 5: Solve for x
    x = 12,812,430,462.22/129,204.42
  6. Step 6: Final answer
    x = 99,164.03

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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.