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Finding the Fourth Proportional to 129,148.90, 178,213.26 and 71,781.42

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Solution

The fourth proportional to 129,148.90, 178,213.26 and 71,781.42 is: 99,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,148.90 : 178,213.26 = 71,781.42 : x
  2. Step 2: Convert to fraction form
    129,148.90/178,213.26 = 71,781.42/x
  3. Step 3: Cross multiply
    129,148.90x = 178,213.26 × 71,781.42
  4. Step 4: Simplify right side
    129,148.90x = 12,792,400,865.63
  5. Step 5: Solve for x
    x = 12,792,400,865.63/129,148.90
  6. Step 6: Final answer
    x = 99,051.57

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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.