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Finding the Fourth Proportional to 230,241.92, 345,363.76 and 117,860.80

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Solution

The fourth proportional to 230,241.92, 345,363.76 and 117,860.80 is: 176,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,241.92 : 345,363.76 = 117,860.80 : x
  2. Step 2: Convert to fraction form
    230,241.92/345,363.76 = 117,860.80/x
  3. Step 3: Cross multiply
    230,241.92x = 345,363.76 × 117,860.80
  4. Step 4: Simplify right side
    230,241.92x = 40,704,849,044.61
  5. Step 5: Solve for x
    x = 40,704,849,044.61/230,241.92
  6. Step 6: Final answer
    x = 176,791.65

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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.