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Finding the Fourth Proportional to 165,248.76, 247,796.58 and 133,581.00

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Solution

The fourth proportional to 165,248.76, 247,796.58 and 133,581.00 is: 200,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,248.76 : 247,796.58 = 133,581.00 : x
  2. Step 2: Convert to fraction form
    165,248.76/247,796.58 = 133,581.00/x
  3. Step 3: Cross multiply
    165,248.76x = 247,796.58 × 133,581.00
  4. Step 4: Simplify right side
    165,248.76x = 33,100,913,714.00
  5. Step 5: Solve for x
    x = 33,100,913,714.00/165,248.76
  6. Step 6: Final answer
    x = 200,309.61

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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.