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Finding the Fourth Proportional to 157,494.98, 217,347.44 and 96,251.09

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Solution

The fourth proportional to 157,494.98, 217,347.44 and 96,251.09 is: 132,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,494.98 : 217,347.44 = 96,251.09 : x
  2. Step 2: Convert to fraction form
    157,494.98/217,347.44 = 96,251.09/x
  3. Step 3: Cross multiply
    157,494.98x = 217,347.44 × 96,251.09
  4. Step 4: Simplify right side
    157,494.98x = 20,919,926,440.72
  5. Step 5: Solve for x
    x = 20,919,926,440.72/157,494.98
  6. Step 6: Final answer
    x = 132,829.16

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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.