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Finding the Fourth Proportional to 128,514.90, 192,772.35 and 83,414.10

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Solution

The fourth proportional to 128,514.90, 192,772.35 and 83,414.10 is: 125,121.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,514.90 : 192,772.35 = 83,414.10 : x
  2. Step 2: Convert to fraction form
    128,514.90/192,772.35 = 83,414.10/x
  3. Step 3: Cross multiply
    128,514.90x = 192,772.35 × 83,414.10
  4. Step 4: Simplify right side
    128,514.90x = 16,079,932,080.14
  5. Step 5: Solve for x
    x = 16,079,932,080.14/128,514.90
  6. Step 6: Final answer
    x = 125,121.15

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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.