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Finding the Fourth Proportional to 100,616.30, 138,843.78 and 55,293.30

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Solution

The fourth proportional to 100,616.30, 138,843.78 and 55,293.30 is: 76,301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.30 : 138,843.78 = 55,293.30 : x
  2. Step 2: Convert to fraction form
    100,616.30/138,843.78 = 55,293.30/x
  3. Step 3: Cross multiply
    100,616.30x = 138,843.78 × 55,293.30
  4. Step 4: Simplify right side
    100,616.30x = 7,677,130,780.67
  5. Step 5: Solve for x
    x = 7,677,130,780.67/100,616.30
  6. Step 6: Final answer
    x = 76,301.06

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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.