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Finding the Fourth Proportional to 82,382.40, 123,573.60 and 81,799.20

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Solution

The fourth proportional to 82,382.40, 123,573.60 and 81,799.20 is: 122,698.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,382.40 : 123,573.60 = 81,799.20 : x
  2. Step 2: Convert to fraction form
    82,382.40/123,573.60 = 81,799.20/x
  3. Step 3: Cross multiply
    82,382.40x = 123,573.60 × 81,799.20
  4. Step 4: Simplify right side
    82,382.40x = 10,108,221,621.12
  5. Step 5: Solve for x
    x = 10,108,221,621.12/82,382.40
  6. Step 6: Final answer
    x = 122,698.80

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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.