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Finding the Fourth Proportional to 185,278.80, 255,684.96 and 100,395.12

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Solution

The fourth proportional to 185,278.80, 255,684.96 and 100,395.12 is: 138,545.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,278.80 : 255,684.96 = 100,395.12 : x
  2. Step 2: Convert to fraction form
    185,278.80/255,684.96 = 100,395.12/x
  3. Step 3: Cross multiply
    185,278.80x = 255,684.96 × 100,395.12
  4. Step 4: Simplify right side
    185,278.80x = 25,669,522,241.40
  5. Step 5: Solve for x
    x = 25,669,522,241.40/185,278.80
  6. Step 6: Final answer
    x = 138,545.38

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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.