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Finding the Fourth Proportional to 298,092.60, 447,138.90 and 84,860.10

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Solution

The fourth proportional to 298,092.60, 447,138.90 and 84,860.10 is: 127,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,092.60 : 447,138.90 = 84,860.10 : x
  2. Step 2: Convert to fraction form
    298,092.60/447,138.90 = 84,860.10/x
  3. Step 3: Cross multiply
    298,092.60x = 447,138.90 × 84,860.10
  4. Step 4: Simplify right side
    298,092.60x = 37,944,251,767.89
  5. Step 5: Solve for x
    x = 37,944,251,767.89/298,092.60
  6. Step 6: Final answer
    x = 127,290.15

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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.