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Finding the Fourth Proportional to 122,978.08, 184,050.13 and 75,622.92

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Solution

The fourth proportional to 122,978.08, 184,050.13 and 75,622.92 is: 113,177.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.08 : 184,050.13 = 75,622.92 : x
  2. Step 2: Convert to fraction form
    122,978.08/184,050.13 = 75,622.92/x
  3. Step 3: Cross multiply
    122,978.08x = 184,050.13 × 75,622.92
  4. Step 4: Simplify right side
    122,978.08x = 13,918,406,958.61
  5. Step 5: Solve for x
    x = 13,918,406,958.61/122,978.08
  6. Step 6: Final answer
    x = 113,177.95

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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.