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Finding the Fourth Proportional to 205,565.42, 283,767.73 and 125,018.82

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Solution

The fourth proportional to 205,565.42, 283,767.73 and 125,018.82 is: 172,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,565.42 : 283,767.73 = 125,018.82 : x
  2. Step 2: Convert to fraction form
    205,565.42/283,767.73 = 125,018.82/x
  3. Step 3: Cross multiply
    205,565.42x = 283,767.73 × 125,018.82
  4. Step 4: Simplify right side
    205,565.42x = 35,476,306,446.13
  5. Step 5: Solve for x
    x = 35,476,306,446.13/205,565.42
  6. Step 6: Final answer
    x = 172,579.15

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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.