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Finding the Fourth Proportional to 123,902.43, 185,860.68 and 35,148.97

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Solution

The fourth proportional to 123,902.43, 185,860.68 and 35,148.97 is: 52,725.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,902.43 : 185,860.68 = 35,148.97 : x
  2. Step 2: Convert to fraction form
    123,902.43/185,860.68 = 35,148.97/x
  3. Step 3: Cross multiply
    123,902.43x = 185,860.68 × 35,148.97
  4. Step 4: Simplify right side
    123,902.43x = 6,532,811,465.50
  5. Step 5: Solve for x
    x = 6,532,811,465.50/123,902.43
  6. Step 6: Final answer
    x = 52,725.45

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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.