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Finding the Fourth Proportional to 302,806.20, 454,209.30 and 92,416.80

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Solution

The fourth proportional to 302,806.20, 454,209.30 and 92,416.80 is: 138,625.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,806.20 : 454,209.30 = 92,416.80 : x
  2. Step 2: Convert to fraction form
    302,806.20/454,209.30 = 92,416.80/x
  3. Step 3: Cross multiply
    302,806.20x = 454,209.30 × 92,416.80
  4. Step 4: Simplify right side
    302,806.20x = 41,976,570,036.24
  5. Step 5: Solve for x
    x = 41,976,570,036.24/302,806.20
  6. Step 6: Final answer
    x = 138,625.20

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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.