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Finding the Fourth Proportional to 147,883.24, 204,078.42 and 80,815.24

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Solution

The fourth proportional to 147,883.24, 204,078.42 and 80,815.24 is: 111,524.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,883.24 : 204,078.42 = 80,815.24 : x
  2. Step 2: Convert to fraction form
    147,883.24/204,078.42 = 80,815.24/x
  3. Step 3: Cross multiply
    147,883.24x = 204,078.42 × 80,815.24
  4. Step 4: Simplify right side
    147,883.24x = 16,492,646,491.12
  5. Step 5: Solve for x
    x = 16,492,646,491.12/147,883.24
  6. Step 6: Final answer
    x = 111,524.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.