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Finding the Fourth Proportional to 205,139.97, 283,089.42 and 114,494.28

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Solution

The fourth proportional to 205,139.97, 283,089.42 and 114,494.28 is: 158,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139.97 : 283,089.42 = 114,494.28 : x
  2. Step 2: Convert to fraction form
    205,139.97/283,089.42 = 114,494.28/x
  3. Step 3: Cross multiply
    205,139.97x = 283,089.42 × 114,494.28
  4. Step 4: Simplify right side
    205,139.97x = 32,412,119,318.52
  5. Step 5: Solve for x
    x = 32,412,119,318.52/205,139.97
  6. Step 6: Final answer
    x = 158,000.02

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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.