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Finding the Fourth Proportional to 105,950.50, 158,863.48 and 42,772.69

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Solution

The fourth proportional to 105,950.50, 158,863.48 and 42,772.69 is: 64,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,950.50 : 158,863.48 = 42,772.69 : x
  2. Step 2: Convert to fraction form
    105,950.50/158,863.48 = 42,772.69/x
  3. Step 3: Cross multiply
    105,950.50x = 158,863.48 × 42,772.69
  4. Step 4: Simplify right side
    105,950.50x = 6,795,018,474.01
  5. Step 5: Solve for x
    x = 6,795,018,474.01/105,950.50
  6. Step 6: Final answer
    x = 64,133.90

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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.