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Finding the Fourth Proportional to 146,592.50, 219,921 and 83,442.37

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Solution

The fourth proportional to 146,592.50, 219,921 and 83,442.37 is: 125,181.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,592.50 : 219,921 = 83,442.37 : x
  2. Step 2: Convert to fraction form
    146,592.50/219,921 = 83,442.37/x
  3. Step 3: Cross multiply
    146,592.50x = 219,921 × 83,442.37
  4. Step 4: Simplify right side
    146,592.50x = 18,350,729,452.77
  5. Step 5: Solve for x
    x = 18,350,729,452.77/146,592.50
  6. Step 6: Final answer
    x = 125,181.91

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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.