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Finding the Fourth Proportional to 120,520.78, 180,708.25 and 53,948.50

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Solution

The fourth proportional to 120,520.78, 180,708.25 and 53,948.50 is: 80,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,520.78 : 180,708.25 = 53,948.50 : x
  2. Step 2: Convert to fraction form
    120,520.78/180,708.25 = 53,948.50/x
  3. Step 3: Cross multiply
    120,520.78x = 180,708.25 × 53,948.50
  4. Step 4: Simplify right side
    120,520.78x = 9,748,938,890.25
  5. Step 5: Solve for x
    x = 9,748,938,890.25/120,520.78
  6. Step 6: Final answer
    x = 80,890.11

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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.