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Finding the Fourth Proportional to 502,100.75, 753,157.24 and 147,121.97

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Solution

The fourth proportional to 502,100.75, 753,157.24 and 147,121.97 is: 220,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,100.75 : 753,157.24 = 147,121.97 : x
  2. Step 2: Convert to fraction form
    502,100.75/753,157.24 = 147,121.97/x
  3. Step 3: Cross multiply
    502,100.75x = 753,157.24 × 147,121.97
  4. Step 4: Simplify right side
    502,100.75x = 110,805,972,734.97
  5. Step 5: Solve for x
    x = 110,805,972,734.97/502,100.75
  6. Step 6: Final answer
    x = 220,684.74

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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.