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Finding the Fourth Proportional to 412,171.95, 618,346.19 and 127,856.35

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Solution

The fourth proportional to 412,171.95, 618,346.19 and 127,856.35 is: 191,811.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,171.95 : 618,346.19 = 127,856.35 : x
  2. Step 2: Convert to fraction form
    412,171.95/618,346.19 = 127,856.35/x
  3. Step 3: Cross multiply
    412,171.95x = 618,346.19 × 127,856.35
  4. Step 4: Simplify right side
    412,171.95x = 79,059,484,704.66
  5. Step 5: Solve for x
    x = 79,059,484,704.66/412,171.95
  6. Step 6: Final answer
    x = 191,811.90

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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.