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Finding the Fourth Proportional to 138,342.80, 207,514.20 and 85,854.80

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Solution

The fourth proportional to 138,342.80, 207,514.20 and 85,854.80 is: 128,782.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,342.80 : 207,514.20 = 85,854.80 : x
  2. Step 2: Convert to fraction form
    138,342.80/207,514.20 = 85,854.80/x
  3. Step 3: Cross multiply
    138,342.80x = 207,514.20 × 85,854.80
  4. Step 4: Simplify right side
    138,342.80x = 17,816,090,138.16
  5. Step 5: Solve for x
    x = 17,816,090,138.16/138,342.80
  6. Step 6: Final answer
    x = 128,782.20

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1.5x scale

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.