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Finding the Fourth Proportional to 205,337.61, 283,362.86 and 114,694.91

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Solution

The fourth proportional to 205,337.61, 283,362.86 and 114,694.91 is: 158,277.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,337.61 : 283,362.86 = 114,694.91 : x
  2. Step 2: Convert to fraction form
    205,337.61/283,362.86 = 114,694.91/x
  3. Step 3: Cross multiply
    205,337.61x = 283,362.86 × 114,694.91
  4. Step 4: Simplify right side
    205,337.61x = 32,500,275,734.75
  5. Step 5: Solve for x
    x = 32,500,275,734.75/205,337.61
  6. Step 6: Final answer
    x = 158,277.27

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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.