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Finding the Fourth Proportional to 180,076.26, 270,114.12 and 53,713.20

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Solution

The fourth proportional to 180,076.26, 270,114.12 and 53,713.20 is: 80,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,076.26 : 270,114.12 = 53,713.20 : x
  2. Step 2: Convert to fraction form
    180,076.26/270,114.12 = 53,713.20/x
  3. Step 3: Cross multiply
    180,076.26x = 270,114.12 × 53,713.20
  4. Step 4: Simplify right side
    180,076.26x = 14,508,693,750.38
  5. Step 5: Solve for x
    x = 14,508,693,750.38/180,076.26
  6. Step 6: Final answer
    x = 80,569.72

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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.