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Finding the Fourth Proportional to 98,714.70, 148,035.60 and 48,778.20

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Solution

The fourth proportional to 98,714.70, 148,035.60 and 48,778.20 is: 73,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.70 : 148,035.60 = 48,778.20 : x
  2. Step 2: Convert to fraction form
    98,714.70/148,035.60 = 48,778.20/x
  3. Step 3: Cross multiply
    98,714.70x = 148,035.60 × 48,778.20
  4. Step 4: Simplify right side
    98,714.70x = 7,220,910,103.92
  5. Step 5: Solve for x
    x = 7,220,910,103.92/98,714.70
  6. Step 6: Final answer
    x = 73,149.29

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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.