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Finding the Fourth Proportional to 144,514.52, 199,441.84 and 83,279.76

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Solution

The fourth proportional to 144,514.52, 199,441.84 and 83,279.76 is: 114,932.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,514.52 : 199,441.84 = 83,279.76 : x
  2. Step 2: Convert to fraction form
    144,514.52/199,441.84 = 83,279.76/x
  3. Step 3: Cross multiply
    144,514.52x = 199,441.84 × 83,279.76
  4. Step 4: Simplify right side
    144,514.52x = 16,609,468,569.16
  5. Step 5: Solve for x
    x = 16,609,468,569.16/144,514.52
  6. Step 6: Final answer
    x = 114,932.87

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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.