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Finding the Fourth Proportional to 148,941.20, 223,411.80 and 50,445.20

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Solution

The fourth proportional to 148,941.20, 223,411.80 and 50,445.20 is: 75,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,941.20 : 223,411.80 = 50,445.20 : x
  2. Step 2: Convert to fraction form
    148,941.20/223,411.80 = 50,445.20/x
  3. Step 3: Cross multiply
    148,941.20x = 223,411.80 × 50,445.20
  4. Step 4: Simplify right side
    148,941.20x = 11,270,052,933.36
  5. Step 5: Solve for x
    x = 11,270,052,933.36/148,941.20
  6. Step 6: Final answer
    x = 75,667.80

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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.