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Finding the Fourth Proportional to 164,689.92, 247,138.56 and 102,481.92

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Solution

The fourth proportional to 164,689.92, 247,138.56 and 102,481.92 is: 153,787.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,689.92 : 247,138.56 = 102,481.92 : x
  2. Step 2: Convert to fraction form
    164,689.92/247,138.56 = 102,481.92/x
  3. Step 3: Cross multiply
    164,689.92x = 247,138.56 × 102,481.92
  4. Step 4: Simplify right side
    164,689.92x = 25,327,234,134.84
  5. Step 5: Solve for x
    x = 25,327,234,134.84/164,689.92
  6. Step 6: Final answer
    x = 153,787.40

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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.