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Finding the Fourth Proportional to 185,238.38, 255,630.20 and 100,355.45

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Solution

The fourth proportional to 185,238.38, 255,630.20 and 100,355.45 is: 138,491.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,238.38 : 255,630.20 = 100,355.45 : x
  2. Step 2: Convert to fraction form
    185,238.38/255,630.20 = 100,355.45/x
  3. Step 3: Cross multiply
    185,238.38x = 255,630.20 × 100,355.45
  4. Step 4: Simplify right side
    185,238.38x = 25,653,881,974.66
  5. Step 5: Solve for x
    x = 25,653,881,974.66/185,238.38
  6. Step 6: Final answer
    x = 138,491.18

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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.