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Finding the Fourth Proportional to 205,328.38, 283,350.18 and 114,685.66

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Solution

The fourth proportional to 205,328.38, 283,350.18 and 114,685.66 is: 158,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,328.38 : 283,350.18 = 114,685.66 : x
  2. Step 2: Convert to fraction form
    205,328.38/283,350.18 = 114,685.66/x
  3. Step 3: Cross multiply
    205,328.38x = 283,350.18 × 114,685.66
  4. Step 4: Simplify right side
    205,328.38x = 32,496,202,404.42
  5. Step 5: Solve for x
    x = 32,496,202,404.42/205,328.38
  6. Step 6: Final answer
    x = 158,264.54

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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.