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Finding the Fourth Proportional to 451,858.86, 677,373.57 and 156,163.50

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Solution

The fourth proportional to 451,858.86, 677,373.57 and 156,163.50 is: 234,101.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,858.86 : 677,373.57 = 156,163.50 : x
  2. Step 2: Convert to fraction form
    451,858.86/677,373.57 = 156,163.50/x
  3. Step 3: Cross multiply
    451,858.86x = 677,373.57 × 156,163.50
  4. Step 4: Simplify right side
    451,858.86x = 105,781,027,498.70
  5. Step 5: Solve for x
    x = 105,781,027,498.70/451,858.86
  6. Step 6: Final answer
    x = 234,101.92

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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.