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Finding the Fourth Proportional to 172,690.50, 259,023.87 and 106,140.90

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Solution

The fourth proportional to 172,690.50, 259,023.87 and 106,140.90 is: 159,204.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,690.50 : 259,023.87 = 106,140.90 : x
  2. Step 2: Convert to fraction form
    172,690.50/259,023.87 = 106,140.90/x
  3. Step 3: Cross multiply
    172,690.50x = 259,023.87 × 106,140.90
  4. Step 4: Simplify right side
    172,690.50x = 27,493,026,683.28
  5. Step 5: Solve for x
    x = 27,493,026,683.28/172,690.50
  6. Step 6: Final answer
    x = 159,204.05

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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.