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Finding the Fourth Proportional to 123,171.60, 184,465.80 and 75,932.40

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Solution

The fourth proportional to 123,171.60, 184,465.80 and 75,932.40 is: 113,718.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,171.60 : 184,465.80 = 75,932.40 : x
  2. Step 2: Convert to fraction form
    123,171.60/184,465.80 = 75,932.40/x
  3. Step 3: Cross multiply
    123,171.60x = 184,465.80 × 75,932.40
  4. Step 4: Simplify right side
    123,171.60x = 14,006,930,911.92
  5. Step 5: Solve for x
    x = 14,006,930,911.92/123,171.60
  6. Step 6: Final answer
    x = 113,718.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.