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Finding the Fourth Proportional to 253,609.71, 349,981.38 and 140,432.46

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Solution

The fourth proportional to 253,609.71, 349,981.38 and 140,432.46 is: 193,796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,609.71 : 349,981.38 = 140,432.46 : x
  2. Step 2: Convert to fraction form
    253,609.71/349,981.38 = 140,432.46/x
  3. Step 3: Cross multiply
    253,609.71x = 349,981.38 × 140,432.46
  4. Step 4: Simplify right side
    253,609.71x = 49,148,746,147.59
  5. Step 5: Solve for x
    x = 49,148,746,147.59/253,609.71
  6. Step 6: Final answer
    x = 193,796.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.