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Finding the Fourth Proportional to 245,134.10, 367,657.38 and 65,220.56

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Solution

The fourth proportional to 245,134.10, 367,657.38 and 65,220.56 is: 97,819.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,134.10 : 367,657.38 = 65,220.56 : x
  2. Step 2: Convert to fraction form
    245,134.10/367,657.38 = 65,220.56/x
  3. Step 3: Cross multiply
    245,134.10x = 367,657.38 × 65,220.56
  4. Step 4: Simplify right side
    245,134.10x = 23,978,820,211.73
  5. Step 5: Solve for x
    x = 23,978,820,211.73/245,134.10
  6. Step 6: Final answer
    x = 97,819.19

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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.