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Finding the Fourth Proportional to 274,712.20, 412,141.20 and 97,200.70

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Solution

The fourth proportional to 274,712.20, 412,141.20 and 97,200.70 is: 145,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,712.20 : 412,141.20 = 97,200.70 : x
  2. Step 2: Convert to fraction form
    274,712.20/412,141.20 = 97,200.70/x
  3. Step 3: Cross multiply
    274,712.20x = 412,141.20 × 97,200.70
  4. Step 4: Simplify right side
    274,712.20x = 40,060,413,138.84
  5. Step 5: Solve for x
    x = 40,060,413,138.84/274,712.20
  6. Step 6: Final answer
    x = 145,826.84

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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.