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Finding the Fourth Proportional to 71,267.80, 107,132.10 and 65,738.20

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Solution

The fourth proportional to 71,267.80, 107,132.10 and 65,738.20 is: 98,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,267.80 : 107,132.10 = 65,738.20 : x
  2. Step 2: Convert to fraction form
    71,267.80/107,132.10 = 65,738.20/x
  3. Step 3: Cross multiply
    71,267.80x = 107,132.10 × 65,738.20
  4. Step 4: Simplify right side
    71,267.80x = 7,042,671,416.22
  5. Step 5: Solve for x
    x = 7,042,671,416.22/71,267.80
  6. Step 6: Final answer
    x = 98,819.82

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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.