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Finding the Fourth Proportional to 106,599.65, 159,867.41 and 87,833.16

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Solution

The fourth proportional to 106,599.65, 159,867.41 and 87,833.16 is: 131,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599.65 : 159,867.41 = 87,833.16 : x
  2. Step 2: Convert to fraction form
    106,599.65/159,867.41 = 87,833.16/x
  3. Step 3: Cross multiply
    106,599.65x = 159,867.41 × 87,833.16
  4. Step 4: Simplify right side
    106,599.65x = 14,041,659,362.15
  5. Step 5: Solve for x
    x = 14,041,659,362.15/106,599.65
  6. Step 6: Final answer
    x = 131,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.