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Finding the Fourth Proportional to 408,051.20, 612,163.20 and 123,718.40

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Solution

The fourth proportional to 408,051.20, 612,163.20 and 123,718.40 is: 185,603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,051.20 : 612,163.20 = 123,718.40 : x
  2. Step 2: Convert to fraction form
    408,051.20/612,163.20 = 123,718.40/x
  3. Step 3: Cross multiply
    408,051.20x = 612,163.20 × 123,718.40
  4. Step 4: Simplify right side
    408,051.20x = 75,735,851,642.88
  5. Step 5: Solve for x
    x = 75,735,851,642.88/408,051.20
  6. Step 6: Final answer
    x = 185,603.80

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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.