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Finding the Fourth Proportional to 120,503.80, 180,721.14 and 46,614.52

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Solution

The fourth proportional to 120,503.80, 180,721.14 and 46,614.52 is: 69,908.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,503.80 : 180,721.14 = 46,614.52 : x
  2. Step 2: Convert to fraction form
    120,503.80/180,721.14 = 46,614.52/x
  3. Step 3: Cross multiply
    120,503.80x = 180,721.14 × 46,614.52
  4. Step 4: Simplify right side
    120,503.80x = 8,424,229,194.95
  5. Step 5: Solve for x
    x = 8,424,229,194.95/120,503.80
  6. Step 6: Final answer
    x = 69,908.41

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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.