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Finding the Fourth Proportional to 123,411.20, 185,203.20 and 53,340.80

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Solution

The fourth proportional to 123,411.20, 185,203.20 and 53,340.80 is: 80,048.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,411.20 : 185,203.20 = 53,340.80 : x
  2. Step 2: Convert to fraction form
    123,411.20/185,203.20 = 53,340.80/x
  3. Step 3: Cross multiply
    123,411.20x = 185,203.20 × 53,340.80
  4. Step 4: Simplify right side
    123,411.20x = 9,878,886,850.56
  5. Step 5: Solve for x
    x = 9,878,886,850.56/123,411.20
  6. Step 6: Final answer
    x = 80,048.54

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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.