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Finding the Fourth Proportional to 231,109.60, 346,275.60 and 197,672.80

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Solution

The fourth proportional to 231,109.60, 346,275.60 and 197,672.80 is: 296,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,109.60 : 346,275.60 = 197,672.80 : x
  2. Step 2: Convert to fraction form
    231,109.60/346,275.60 = 197,672.80/x
  3. Step 3: Cross multiply
    231,109.60x = 346,275.60 × 197,672.80
  4. Step 4: Simplify right side
    231,109.60x = 68,449,267,423.68
  5. Step 5: Solve for x
    x = 68,449,267,423.68/231,109.60
  6. Step 6: Final answer
    x = 296,176.65

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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.