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Finding the Fourth Proportional to 148,974.80, 223,402.80 and 49,107.20

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Solution

The fourth proportional to 148,974.80, 223,402.80 and 49,107.20 is: 73,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,974.80 : 223,402.80 = 49,107.20 : x
  2. Step 2: Convert to fraction form
    148,974.80/223,402.80 = 49,107.20/x
  3. Step 3: Cross multiply
    148,974.80x = 223,402.80 × 49,107.20
  4. Step 4: Simplify right side
    148,974.80x = 10,970,685,980.16
  5. Step 5: Solve for x
    x = 10,970,685,980.16/148,974.80
  6. Step 6: Final answer
    x = 73,641.22

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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.