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Finding the Fourth Proportional to 100,708.20, 138,974.52 and 55,386.18

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Solution

The fourth proportional to 100,708.20, 138,974.52 and 55,386.18 is: 76,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,708.20 : 138,974.52 = 55,386.18 : x
  2. Step 2: Convert to fraction form
    100,708.20/138,974.52 = 55,386.18/x
  3. Step 3: Cross multiply
    100,708.20x = 138,974.52 × 55,386.18
  4. Step 4: Simplify right side
    100,708.20x = 7,697,267,780.13
  5. Step 5: Solve for x
    x = 7,697,267,780.13/100,708.20
  6. Step 6: Final answer
    x = 76,431.39

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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.