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Finding the Fourth Proportional to 146,367.62, 219,200.61 and 75,102.71

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Solution

The fourth proportional to 146,367.62, 219,200.61 and 75,102.71 is: 112,474.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,367.62 : 219,200.61 = 75,102.71 : x
  2. Step 2: Convert to fraction form
    146,367.62/219,200.61 = 75,102.71/x
  3. Step 3: Cross multiply
    146,367.62x = 219,200.61 × 75,102.71
  4. Step 4: Simplify right side
    146,367.62x = 16,462,559,844.65
  5. Step 5: Solve for x
    x = 16,462,559,844.65/146,367.62
  6. Step 6: Final answer
    x = 112,474.06

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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.