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Finding the Fourth Proportional to 205,124.92, 283,086.60 and 114,498.52

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Solution

The fourth proportional to 205,124.92, 283,086.60 and 114,498.52 is: 158,015.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124.92 : 283,086.60 = 114,498.52 : x
  2. Step 2: Convert to fraction form
    205,124.92/283,086.60 = 114,498.52/x
  3. Step 3: Cross multiply
    205,124.92x = 283,086.60 × 114,498.52
  4. Step 4: Simplify right side
    205,124.92x = 32,412,996,731.83
  5. Step 5: Solve for x
    x = 32,412,996,731.83/205,124.92
  6. Step 6: Final answer
    x = 158,015.89

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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.