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Finding the Fourth Proportional to 274,762.20, 412,216.20 and 97,250.70

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Solution

The fourth proportional to 274,762.20, 412,216.20 and 97,250.70 is: 145,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,762.20 : 412,216.20 = 97,250.70 : x
  2. Step 2: Convert to fraction form
    274,762.20/412,216.20 = 97,250.70/x
  3. Step 3: Cross multiply
    274,762.20x = 412,216.20 × 97,250.70
  4. Step 4: Simplify right side
    274,762.20x = 40,088,314,001.34
  5. Step 5: Solve for x
    x = 40,088,314,001.34/274,762.20
  6. Step 6: Final answer
    x = 145,901.85

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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.