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Finding the Fourth Proportional to 269,200.80, 403,801.20 and 157,007.70

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Solution

The fourth proportional to 269,200.80, 403,801.20 and 157,007.70 is: 235,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,200.80 : 403,801.20 = 157,007.70 : x
  2. Step 2: Convert to fraction form
    269,200.80/403,801.20 = 157,007.70/x
  3. Step 3: Cross multiply
    269,200.80x = 403,801.20 × 157,007.70
  4. Step 4: Simplify right side
    269,200.80x = 63,399,897,669.24
  5. Step 5: Solve for x
    x = 63,399,897,669.24/269,200.80
  6. Step 6: Final answer
    x = 235,511.55

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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.