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Finding the Fourth Proportional to 345,193.92, 517,091.04 and 178,632

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Solution

The fourth proportional to 345,193.92, 517,091.04 and 178,632 is: 267,585.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,193.92 : 517,091.04 = 178,632 : x
  2. Step 2: Convert to fraction form
    345,193.92/517,091.04 = 178,632/x
  3. Step 3: Cross multiply
    345,193.92x = 517,091.04 × 178,632
  4. Step 4: Simplify right side
    345,193.92x = 92,369,006,657.28
  5. Step 5: Solve for x
    x = 92,369,006,657.28/345,193.92
  6. Step 6: Final answer
    x = 267,585.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.