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Finding the Fourth Proportional to 129,095.78, 178,136.62 and 71,734.82

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Solution

The fourth proportional to 129,095.78, 178,136.62 and 71,734.82 is: 98,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,095.78 : 178,136.62 = 71,734.82 : x
  2. Step 2: Convert to fraction form
    129,095.78/178,136.62 = 71,734.82/x
  3. Step 3: Cross multiply
    129,095.78x = 178,136.62 × 71,734.82
  4. Step 4: Simplify right side
    129,095.78x = 12,778,597,301.09
  5. Step 5: Solve for x
    x = 12,778,597,301.09/129,095.78
  6. Step 6: Final answer
    x = 98,985.40

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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.