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Finding the Fourth Proportional to 205,151.82, 283,109.84 and 114,507.78

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Solution

The fourth proportional to 205,151.82, 283,109.84 and 114,507.78 is: 158,020.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.82 : 283,109.84 = 114,507.78 : x
  2. Step 2: Convert to fraction form
    205,151.82/283,109.84 = 114,507.78/x
  3. Step 3: Cross multiply
    205,151.82x = 283,109.84 × 114,507.78
  4. Step 4: Simplify right side
    205,151.82x = 32,418,279,274.56
  5. Step 5: Solve for x
    x = 32,418,279,274.56/205,151.82
  6. Step 6: Final answer
    x = 158,020.92

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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.