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Finding the Fourth Proportional to 129,195.16, 178,304.10 and 71,840.20

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Solution

The fourth proportional to 129,195.16, 178,304.10 and 71,840.20 is: 99,147.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,195.16 : 178,304.10 = 71,840.20 : x
  2. Step 2: Convert to fraction form
    129,195.16/178,304.10 = 71,840.20/x
  3. Step 3: Cross multiply
    129,195.16x = 178,304.10 × 71,840.20
  4. Step 4: Simplify right side
    129,195.16x = 12,809,402,204.82
  5. Step 5: Solve for x
    x = 12,809,402,204.82/129,195.16
  6. Step 6: Final answer
    x = 99,147.69

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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.