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Finding the Fourth Proportional to 205,348.65, 283,353.12 and 114,693.04

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Solution

The fourth proportional to 205,348.65, 283,353.12 and 114,693.04 is: 158,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,348.65 : 283,353.12 = 114,693.04 : x
  2. Step 2: Convert to fraction form
    205,348.65/283,353.12 = 114,693.04/x
  3. Step 3: Cross multiply
    205,348.65x = 283,353.12 × 114,693.04
  4. Step 4: Simplify right side
    205,348.65x = 32,498,630,726.28
  5. Step 5: Solve for x
    x = 32,498,630,726.28/205,348.65
  6. Step 6: Final answer
    x = 158,260.75

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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.