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Finding the Fourth Proportional to 205,920.45, 284,156.33 and 114,033.14

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Solution

The fourth proportional to 205,920.45, 284,156.33 and 114,033.14 is: 157,358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,920.45 : 284,156.33 = 114,033.14 : x
  2. Step 2: Convert to fraction form
    205,920.45/284,156.33 = 114,033.14/x
  3. Step 3: Cross multiply
    205,920.45x = 284,156.33 × 114,033.14
  4. Step 4: Simplify right side
    205,920.45x = 32,403,238,560.78
  5. Step 5: Solve for x
    x = 32,403,238,560.78/205,920.45
  6. Step 6: Final answer
    x = 157,358.04

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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.