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Finding the Fourth Proportional to 236,442, 326,245.32 and 140,957.58

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Solution

The fourth proportional to 236,442, 326,245.32 and 140,957.58 is: 194,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,442 : 326,245.32 = 140,957.58 : x
  2. Step 2: Convert to fraction form
    236,442/326,245.32 = 140,957.58/x
  3. Step 3: Cross multiply
    236,442x = 326,245.32 × 140,957.58
  4. Step 4: Simplify right side
    236,442x = 45,986,750,793.53
  5. Step 5: Solve for x
    x = 45,986,750,793.53/236,442
  6. Step 6: Final answer
    x = 194,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.