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Finding the Fourth Proportional to 113,158.80, 169,756.52 and 38,283.48

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Solution

The fourth proportional to 113,158.80, 169,756.52 and 38,283.48 is: 57,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,158.80 : 169,756.52 = 38,283.48 : x
  2. Step 2: Convert to fraction form
    113,158.80/169,756.52 = 38,283.48/x
  3. Step 3: Cross multiply
    113,158.80x = 169,756.52 × 38,283.48
  4. Step 4: Simplify right side
    113,158.80x = 6,498,870,338.29
  5. Step 5: Solve for x
    x = 6,498,870,338.29/113,158.80
  6. Step 6: Final answer
    x = 57,431.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.