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Finding the Fourth Proportional to 185,346.80, 255,778.84 and 100,463.84

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Solution

The fourth proportional to 185,346.80, 255,778.84 and 100,463.84 is: 138,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,346.80 : 255,778.84 = 100,463.84 : x
  2. Step 2: Convert to fraction form
    185,346.80/255,778.84 = 100,463.84/x
  3. Step 3: Cross multiply
    185,346.80x = 255,778.84 × 100,463.84
  4. Step 4: Simplify right side
    185,346.80x = 25,696,524,457.15
  5. Step 5: Solve for x
    x = 25,696,524,457.15/185,346.80
  6. Step 6: Final answer
    x = 138,640.24

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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.