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Finding the Fourth Proportional to 98,714.80, 148,169.40 and 48,851.20

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Solution

The fourth proportional to 98,714.80, 148,169.40 and 48,851.20 is: 73,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,714.80 : 148,169.40 = 48,851.20 : x
  2. Step 2: Convert to fraction form
    98,714.80/148,169.40 = 48,851.20/x
  3. Step 3: Cross multiply
    98,714.80x = 148,169.40 × 48,851.20
  4. Step 4: Simplify right side
    98,714.80x = 7,238,252,993.28
  5. Step 5: Solve for x
    x = 7,238,252,993.28/98,714.80
  6. Step 6: Final answer
    x = 73,324.90

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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.