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Finding the Fourth Proportional to 157,654.98, 217,194.21 and 109,821.78

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Solution

The fourth proportional to 157,654.98, 217,194.21 and 109,821.78 is: 151,296.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,654.98 : 217,194.21 = 109,821.78 : x
  2. Step 2: Convert to fraction form
    157,654.98/217,194.21 = 109,821.78/x
  3. Step 3: Cross multiply
    157,654.98x = 217,194.21 × 109,821.78
  4. Step 4: Simplify right side
    157,654.98x = 23,852,654,747.89
  5. Step 5: Solve for x
    x = 23,852,654,747.89/157,654.98
  6. Step 6: Final answer
    x = 151,296.55

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1.5x scale

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.