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Finding the Fourth Proportional to 205,337.35, 283,362.54 and 114,694.61

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Solution

The fourth proportional to 205,337.35, 283,362.54 and 114,694.61 is: 158,276.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,337.35 : 283,362.54 = 114,694.61 : x
  2. Step 2: Convert to fraction form
    205,337.35/283,362.54 = 114,694.61/x
  3. Step 3: Cross multiply
    205,337.35x = 283,362.54 × 114,694.61
  4. Step 4: Simplify right side
    205,337.35x = 32,500,156,013.91
  5. Step 5: Solve for x
    x = 32,500,156,013.91/205,337.35
  6. Step 6: Final answer
    x = 158,276.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.