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Finding the Fourth Proportional to 202,147.50, 303,220.04 and 52,387.42

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Solution

The fourth proportional to 202,147.50, 303,220.04 and 52,387.42 is: 78,580.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,147.50 : 303,220.04 = 52,387.42 : x
  2. Step 2: Convert to fraction form
    202,147.50/303,220.04 = 52,387.42/x
  3. Step 3: Cross multiply
    202,147.50x = 303,220.04 × 52,387.42
  4. Step 4: Simplify right side
    202,147.50x = 15,884,915,587.90
  5. Step 5: Solve for x
    x = 15,884,915,587.90/202,147.50
  6. Step 6: Final answer
    x = 78,580.82

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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.