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Finding the Fourth Proportional to 129,176.40, 178,266.48 and 71,817.46

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Solution

The fourth proportional to 129,176.40, 178,266.48 and 71,817.46 is: 99,109.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,176.40 : 178,266.48 = 71,817.46 : x
  2. Step 2: Convert to fraction form
    129,176.40/178,266.48 = 71,817.46/x
  3. Step 3: Cross multiply
    129,176.40x = 178,266.48 × 71,817.46
  4. Step 4: Simplify right side
    129,176.40x = 12,802,645,796.74
  5. Step 5: Solve for x
    x = 12,802,645,796.74/129,176.40
  6. Step 6: Final answer
    x = 99,109.79

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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.