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Finding the Fourth Proportional to 101,085.20, 151,627.80 and 81,402.20

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Solution

The fourth proportional to 101,085.20, 151,627.80 and 81,402.20 is: 122,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,085.20 : 151,627.80 = 81,402.20 : x
  2. Step 2: Convert to fraction form
    101,085.20/151,627.80 = 81,402.20/x
  3. Step 3: Cross multiply
    101,085.20x = 151,627.80 × 81,402.20
  4. Step 4: Simplify right side
    101,085.20x = 12,342,836,501.16
  5. Step 5: Solve for x
    x = 12,342,836,501.16/101,085.20
  6. Step 6: Final answer
    x = 122,103.30

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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.