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Finding the Fourth Proportional to 276,740.67, 414,707.07 and 122,680.80

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Solution

The fourth proportional to 276,740.67, 414,707.07 and 122,680.80 is: 183,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,740.67 : 414,707.07 = 122,680.80 : x
  2. Step 2: Convert to fraction form
    276,740.67/414,707.07 = 122,680.80/x
  3. Step 3: Cross multiply
    276,740.67x = 414,707.07 × 122,680.80
  4. Step 4: Simplify right side
    276,740.67x = 50,876,595,113.26
  5. Step 5: Solve for x
    x = 50,876,595,113.26/276,740.67
  6. Step 6: Final answer
    x = 183,842.13

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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.