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Finding the Fourth Proportional to 234,084.76, 350,959.42 and 99,157.92

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Solution

The fourth proportional to 234,084.76, 350,959.42 and 99,157.92 is: 148,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,084.76 : 350,959.42 = 99,157.92 : x
  2. Step 2: Convert to fraction form
    234,084.76/350,959.42 = 99,157.92/x
  3. Step 3: Cross multiply
    234,084.76x = 350,959.42 × 99,157.92
  4. Step 4: Simplify right side
    234,084.76x = 34,800,406,091.61
  5. Step 5: Solve for x
    x = 34,800,406,091.61/234,084.76
  6. Step 6: Final answer
    x = 148,665.83

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Why These Related Problems?

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