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Finding the Fourth Proportional to 165,757.31, 248,809.89 and 146,902.58

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Solution

The fourth proportional to 165,757.31, 248,809.89 and 146,902.58 is: 220,508.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,757.31 : 248,809.89 = 146,902.58 : x
  2. Step 2: Convert to fraction form
    165,757.31/248,809.89 = 146,902.58/x
  3. Step 3: Cross multiply
    165,757.31x = 248,809.89 × 146,902.58
  4. Step 4: Simplify right side
    165,757.31x = 36,550,813,526.47
  5. Step 5: Solve for x
    x = 36,550,813,526.47/165,757.31
  6. Step 6: Final answer
    x = 220,508.01

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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.