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Finding the Fourth Proportional to 275,194.95, 412,833.44 and 97,687.10

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Solution

The fourth proportional to 275,194.95, 412,833.44 and 97,687.10 is: 146,545.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,194.95 : 412,833.44 = 97,687.10 : x
  2. Step 2: Convert to fraction form
    275,194.95/412,833.44 = 97,687.10/x
  3. Step 3: Cross multiply
    275,194.95x = 412,833.44 × 97,687.10
  4. Step 4: Simplify right side
    275,194.95x = 40,328,498,984.02
  5. Step 5: Solve for x
    x = 40,328,498,984.02/275,194.95
  6. Step 6: Final answer
    x = 146,545.20

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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.