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Finding the Fourth Proportional to 106,356.60, 159,534.90 and 50,178.24

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Solution

The fourth proportional to 106,356.60, 159,534.90 and 50,178.24 is: 75,267.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,356.60 : 159,534.90 = 50,178.24 : x
  2. Step 2: Convert to fraction form
    106,356.60/159,534.90 = 50,178.24/x
  3. Step 3: Cross multiply
    106,356.60x = 159,534.90 × 50,178.24
  4. Step 4: Simplify right side
    106,356.60x = 8,005,180,500.58
  5. Step 5: Solve for x
    x = 8,005,180,500.58/106,356.60
  6. Step 6: Final answer
    x = 75,267.36

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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.