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Finding the Fourth Proportional to 146,573.78, 219,565.82 and 111,095.78

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Solution

The fourth proportional to 146,573.78, 219,565.82 and 111,095.78 is: 166,420.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,573.78 : 219,565.82 = 111,095.78 : x
  2. Step 2: Convert to fraction form
    146,573.78/219,565.82 = 111,095.78/x
  3. Step 3: Cross multiply
    146,573.78x = 219,565.82 × 111,095.78
  4. Step 4: Simplify right side
    146,573.78x = 24,392,834,380.93
  5. Step 5: Solve for x
    x = 24,392,834,380.93/146,573.78
  6. Step 6: Final answer
    x = 166,420.18

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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.