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Finding the Fourth Proportional to 347,919.20, 522,073.20 and 148,205.60

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Solution

The fourth proportional to 347,919.20, 522,073.20 and 148,205.60 is: 222,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,919.20 : 522,073.20 = 148,205.60 : x
  2. Step 2: Convert to fraction form
    347,919.20/522,073.20 = 148,205.60/x
  3. Step 3: Cross multiply
    347,919.20x = 522,073.20 × 148,205.60
  4. Step 4: Simplify right side
    347,919.20x = 77,374,171,849.92
  5. Step 5: Solve for x
    x = 77,374,171,849.92/347,919.20
  6. Step 6: Final answer
    x = 222,391.21

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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.