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Finding the Fourth Proportional to 100,700.38, 138,963.75 and 55,378.36

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Solution

The fourth proportional to 100,700.38, 138,963.75 and 55,378.36 is: 76,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,700.38 : 138,963.75 = 55,378.36 : x
  2. Step 2: Convert to fraction form
    100,700.38/138,963.75 = 55,378.36/x
  3. Step 3: Cross multiply
    100,700.38x = 138,963.75 × 55,378.36
  4. Step 4: Simplify right side
    100,700.38x = 7,695,584,695.87
  5. Step 5: Solve for x
    x = 7,695,584,695.87/100,700.38
  6. Step 6: Final answer
    x = 76,420.61

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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.