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Finding the Fourth Proportional to 182,382.80, 273,535.80 and 77,205.20

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Solution

The fourth proportional to 182,382.80, 273,535.80 and 77,205.20 is: 115,791.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,382.80 : 273,535.80 = 77,205.20 : x
  2. Step 2: Convert to fraction form
    182,382.80/273,535.80 = 77,205.20/x
  3. Step 3: Cross multiply
    182,382.80x = 273,535.80 × 77,205.20
  4. Step 4: Simplify right side
    182,382.80x = 21,118,386,146.16
  5. Step 5: Solve for x
    x = 21,118,386,146.16/182,382.80
  6. Step 6: Final answer
    x = 115,791.54

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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.