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Finding the Fourth Proportional to 81,988.20, 113,140.80 and 50,155.20

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Solution

The fourth proportional to 81,988.20, 113,140.80 and 50,155.20 is: 69,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,988.20 : 113,140.80 = 50,155.20 : x
  2. Step 2: Convert to fraction form
    81,988.20/113,140.80 = 50,155.20/x
  3. Step 3: Cross multiply
    81,988.20x = 113,140.80 × 50,155.20
  4. Step 4: Simplify right side
    81,988.20x = 5,674,599,452.16
  5. Step 5: Solve for x
    x = 5,674,599,452.16/81,988.20
  6. Step 6: Final answer
    x = 69,212.39

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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.