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Finding the Fourth Proportional to 298,092.06, 447,138.36 and 120,600.57

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Solution

The fourth proportional to 298,092.06, 447,138.36 and 120,600.57 is: 180,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,092.06 : 447,138.36 = 120,600.57 : x
  2. Step 2: Convert to fraction form
    298,092.06/447,138.36 = 120,600.57/x
  3. Step 3: Cross multiply
    298,092.06x = 447,138.36 × 120,600.57
  4. Step 4: Simplify right side
    298,092.06x = 53,925,141,084.87
  5. Step 5: Solve for x
    x = 53,925,141,084.87/298,092.06
  6. Step 6: Final answer
    x = 180,900.96

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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.