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Finding the Fourth Proportional to 123,530.40, 185,295.60 and 67,348.80

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Solution

The fourth proportional to 123,530.40, 185,295.60 and 67,348.80 is: 101,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,530.40 : 185,295.60 = 67,348.80 : x
  2. Step 2: Convert to fraction form
    123,530.40/185,295.60 = 67,348.80/x
  3. Step 3: Cross multiply
    123,530.40x = 185,295.60 × 67,348.80
  4. Step 4: Simplify right side
    123,530.40x = 12,479,436,305.28
  5. Step 5: Solve for x
    x = 12,479,436,305.28/123,530.40
  6. Step 6: Final answer
    x = 101,023.20

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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.