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Finding the Fourth Proportional to 148,978.80, 223,408.80 and 49,111.20

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Solution

The fourth proportional to 148,978.80, 223,408.80 and 49,111.20 is: 73,647.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978.80 : 223,408.80 = 49,111.20 : x
  2. Step 2: Convert to fraction form
    148,978.80/223,408.80 = 49,111.20/x
  3. Step 3: Cross multiply
    148,978.80x = 223,408.80 × 49,111.20
  4. Step 4: Simplify right side
    148,978.80x = 10,971,874,258.56
  5. Step 5: Solve for x
    x = 10,971,874,258.56/148,978.80
  6. Step 6: Final answer
    x = 73,647.22

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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.