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Finding the Fourth Proportional to 325,560.90, 488,013.30 and 148,195.20

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Solution

The fourth proportional to 325,560.90, 488,013.30 and 148,195.20 is: 222,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,560.90 : 488,013.30 = 148,195.20 : x
  2. Step 2: Convert to fraction form
    325,560.90/488,013.30 = 148,195.20/x
  3. Step 3: Cross multiply
    325,560.90x = 488,013.30 × 148,195.20
  4. Step 4: Simplify right side
    325,560.90x = 72,321,228,596.16
  5. Step 5: Solve for x
    x = 72,321,228,596.16/325,560.90
  6. Step 6: Final answer
    x = 222,143.47

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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.