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Finding the Fourth Proportional to 318,251.78, 477,342.02 and 81,600.02

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Solution

The fourth proportional to 318,251.78, 477,342.02 and 81,600.02 is: 122,390.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,251.78 : 477,342.02 = 81,600.02 : x
  2. Step 2: Convert to fraction form
    318,251.78/477,342.02 = 81,600.02/x
  3. Step 3: Cross multiply
    318,251.78x = 477,342.02 × 81,600.02
  4. Step 4: Simplify right side
    318,251.78x = 38,951,118,378.84
  5. Step 5: Solve for x
    x = 38,951,118,378.84/318,251.78
  6. Step 6: Final answer
    x = 122,390.89

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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.