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Finding the Fourth Proportional to 148,039.20, 222,058.80 and 49,543.20

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Solution

The fourth proportional to 148,039.20, 222,058.80 and 49,543.20 is: 74,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,039.20 : 222,058.80 = 49,543.20 : x
  2. Step 2: Convert to fraction form
    148,039.20/222,058.80 = 49,543.20/x
  3. Step 3: Cross multiply
    148,039.20x = 222,058.80 × 49,543.20
  4. Step 4: Simplify right side
    148,039.20x = 11,001,503,540.16
  5. Step 5: Solve for x
    x = 11,001,503,540.16/148,039.20
  6. Step 6: Final answer
    x = 74,314.80

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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.