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Finding the Fourth Proportional to 148,970.80, 223,396.80 and 49,103.20

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Solution

The fourth proportional to 148,970.80, 223,396.80 and 49,103.20 is: 73,635.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,970.80 : 223,396.80 = 49,103.20 : x
  2. Step 2: Convert to fraction form
    148,970.80/223,396.80 = 49,103.20/x
  3. Step 3: Cross multiply
    148,970.80x = 223,396.80 × 49,103.20
  4. Step 4: Simplify right side
    148,970.80x = 10,969,497,749.76
  5. Step 5: Solve for x
    x = 10,969,497,749.76/148,970.80
  6. Step 6: Final answer
    x = 73,635.22

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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.