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Finding the Fourth Proportional to 274,066.74, 410,799.84 and 140,954.04

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Solution

The fourth proportional to 274,066.74, 410,799.84 and 140,954.04 is: 211,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,066.74 : 410,799.84 = 140,954.04 : x
  2. Step 2: Convert to fraction form
    274,066.74/410,799.84 = 140,954.04/x
  3. Step 3: Cross multiply
    274,066.74x = 410,799.84 × 140,954.04
  4. Step 4: Simplify right side
    274,066.74x = 57,903,897,079.35
  5. Step 5: Solve for x
    x = 57,903,897,079.35/274,066.74
  6. Step 6: Final answer
    x = 211,276.63

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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.