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Finding the Fourth Proportional to 274,713.46, 412,081.16 and 85,193.51

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Solution

The fourth proportional to 274,713.46, 412,081.16 and 85,193.51 is: 127,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,713.46 : 412,081.16 = 85,193.51 : x
  2. Step 2: Convert to fraction form
    274,713.46/412,081.16 = 85,193.51/x
  3. Step 3: Cross multiply
    274,713.46x = 412,081.16 × 85,193.51
  4. Step 4: Simplify right side
    274,713.46x = 35,106,637,938.90
  5. Step 5: Solve for x
    x = 35,106,637,938.90/274,713.46
  6. Step 6: Final answer
    x = 127,793.66

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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.