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Finding the Fourth Proportional to 134,870.80, 202,306.20 and 55,976.80

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Solution

The fourth proportional to 134,870.80, 202,306.20 and 55,976.80 is: 83,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,870.80 : 202,306.20 = 55,976.80 : x
  2. Step 2: Convert to fraction form
    134,870.80/202,306.20 = 55,976.80/x
  3. Step 3: Cross multiply
    134,870.80x = 202,306.20 × 55,976.80
  4. Step 4: Simplify right side
    134,870.80x = 11,324,453,696.16
  5. Step 5: Solve for x
    x = 11,324,453,696.16/134,870.80
  6. Step 6: Final answer
    x = 83,965.20

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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.