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Finding the Fourth Proportional to 120,523.78, 180,712.75 and 53,951.50

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Solution

The fourth proportional to 120,523.78, 180,712.75 and 53,951.50 is: 80,894.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,523.78 : 180,712.75 = 53,951.50 : x
  2. Step 2: Convert to fraction form
    120,523.78/180,712.75 = 53,951.50/x
  3. Step 3: Cross multiply
    120,523.78x = 180,712.75 × 53,951.50
  4. Step 4: Simplify right side
    120,523.78x = 9,749,723,931.63
  5. Step 5: Solve for x
    x = 9,749,723,931.63/120,523.78
  6. Step 6: Final answer
    x = 80,894.61

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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.