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Finding the Fourth Proportional to 121,403.20, 182,104.80 and 38,297.20

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Solution

The fourth proportional to 121,403.20, 182,104.80 and 38,297.20 is: 57,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,403.20 : 182,104.80 = 38,297.20 : x
  2. Step 2: Convert to fraction form
    121,403.20/182,104.80 = 38,297.20/x
  3. Step 3: Cross multiply
    121,403.20x = 182,104.80 × 38,297.20
  4. Step 4: Simplify right side
    121,403.20x = 6,974,103,946.56
  5. Step 5: Solve for x
    x = 6,974,103,946.56/121,403.20
  6. Step 6: Final answer
    x = 57,445.80

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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.