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Finding the Fourth Proportional to 157,207.92, 216,948.24 and 85,588.44

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Solution

The fourth proportional to 157,207.92, 216,948.24 and 85,588.44 is: 118,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,207.92 : 216,948.24 = 85,588.44 : x
  2. Step 2: Convert to fraction form
    157,207.92/216,948.24 = 85,588.44/x
  3. Step 3: Cross multiply
    157,207.92x = 216,948.24 × 85,588.44
  4. Step 4: Simplify right side
    157,207.92x = 18,568,261,422.35
  5. Step 5: Solve for x
    x = 18,568,261,422.35/157,207.92
  6. Step 6: Final answer
    x = 118,112.76

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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.