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Finding the Fourth Proportional to 129,097.56, 178,171.34 and 72,508.94

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Solution

The fourth proportional to 129,097.56, 178,171.34 and 72,508.94 is: 100,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,097.56 : 178,171.34 = 72,508.94 : x
  2. Step 2: Convert to fraction form
    129,097.56/178,171.34 = 72,508.94/x
  3. Step 3: Cross multiply
    129,097.56x = 178,171.34 × 72,508.94
  4. Step 4: Simplify right side
    129,097.56x = 12,919,015,001.78
  5. Step 5: Solve for x
    x = 12,919,015,001.78/129,097.56
  6. Step 6: Final answer
    x = 100,071.72

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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.