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Finding the Fourth Proportional to 148,084, 222,149.12 and 48,220.64

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Solution

The fourth proportional to 148,084, 222,149.12 and 48,220.64 is: 72,338.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,084 : 222,149.12 = 48,220.64 : x
  2. Step 2: Convert to fraction form
    148,084/222,149.12 = 48,220.64/x
  3. Step 3: Cross multiply
    148,084x = 222,149.12 × 48,220.64
  4. Step 4: Simplify right side
    148,084x = 10,712,172,741.84
  5. Step 5: Solve for x
    x = 10,712,172,741.84/148,084
  6. Step 6: Final answer
    x = 72,338.49

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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.