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Finding the Fourth Proportional to 82,426.80, 123,640.20 and 76,897.20

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Solution

The fourth proportional to 82,426.80, 123,640.20 and 76,897.20 is: 115,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,426.80 : 123,640.20 = 76,897.20 : x
  2. Step 2: Convert to fraction form
    82,426.80/123,640.20 = 76,897.20/x
  3. Step 3: Cross multiply
    82,426.80x = 123,640.20 × 76,897.20
  4. Step 4: Simplify right side
    82,426.80x = 9,507,585,187.44
  5. Step 5: Solve for x
    x = 9,507,585,187.44/82,426.80
  6. Step 6: Final answer
    x = 115,345.80

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1.5x scale

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.