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Finding the Fourth Proportional to 129,138.06, 178,200.90 and 72,538.50

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Solution

The fourth proportional to 129,138.06, 178,200.90 and 72,538.50 is: 100,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,138.06 : 178,200.90 = 72,538.50 : x
  2. Step 2: Convert to fraction form
    129,138.06/178,200.90 = 72,538.50/x
  3. Step 3: Cross multiply
    129,138.06x = 178,200.90 × 72,538.50
  4. Step 4: Simplify right side
    129,138.06x = 12,926,425,984.65
  5. Step 5: Solve for x
    x = 12,926,425,984.65/129,138.06
  6. Step 6: Final answer
    x = 100,097.72

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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.