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Finding the Fourth Proportional to 202,046.20, 302,874.90 and 157,042.60

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Solution

The fourth proportional to 202,046.20, 302,874.90 and 157,042.60 is: 235,412.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,046.20 : 302,874.90 = 157,042.60 : x
  2. Step 2: Convert to fraction form
    202,046.20/302,874.90 = 157,042.60/x
  3. Step 3: Cross multiply
    202,046.20x = 302,874.90 × 157,042.60
  4. Step 4: Simplify right side
    202,046.20x = 47,564,261,770.74
  5. Step 5: Solve for x
    x = 47,564,261,770.74/202,046.20
  6. Step 6: Final answer
    x = 235,412.80

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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.