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Finding the Fourth Proportional to 106,585.65, 159,879.20 and 73,204.52

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Solution

The fourth proportional to 106,585.65, 159,879.20 and 73,204.52 is: 109,807.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.65 : 159,879.20 = 73,204.52 : x
  2. Step 2: Convert to fraction form
    106,585.65/159,879.20 = 73,204.52/x
  3. Step 3: Cross multiply
    106,585.65x = 159,879.20 × 73,204.52
  4. Step 4: Simplify right side
    106,585.65x = 11,703,878,928.57
  5. Step 5: Solve for x
    x = 11,703,878,928.57/106,585.65
  6. Step 6: Final answer
    x = 109,807.27

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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.