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Finding the Fourth Proportional to 209,934.80, 314,134.20 and 154,638.80

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Solution

The fourth proportional to 209,934.80, 314,134.20 and 154,638.80 is: 231,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,934.80 : 314,134.20 = 154,638.80 : x
  2. Step 2: Convert to fraction form
    209,934.80/314,134.20 = 154,638.80/x
  3. Step 3: Cross multiply
    209,934.80x = 314,134.20 × 154,638.80
  4. Step 4: Simplify right side
    209,934.80x = 48,577,335,726.96
  5. Step 5: Solve for x
    x = 48,577,335,726.96/209,934.80
  6. Step 6: Final answer
    x = 231,392.49

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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.