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Finding the Fourth Proportional to 106,358.60, 159,537.90 and 50,180.24

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Solution

The fourth proportional to 106,358.60, 159,537.90 and 50,180.24 is: 75,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,358.60 : 159,537.90 = 50,180.24 : x
  2. Step 2: Convert to fraction form
    106,358.60/159,537.90 = 50,180.24/x
  3. Step 3: Cross multiply
    106,358.60x = 159,537.90 × 50,180.24
  4. Step 4: Simplify right side
    106,358.60x = 8,005,650,111.10
  5. Step 5: Solve for x
    x = 8,005,650,111.10/106,358.60
  6. Step 6: Final answer
    x = 75,270.36

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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.