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Finding the Fourth Proportional to 204,999.52, 282,905.04 and 120,120.16

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Solution

The fourth proportional to 204,999.52, 282,905.04 and 120,120.16 is: 165,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,999.52 : 282,905.04 = 120,120.16 : x
  2. Step 2: Convert to fraction form
    204,999.52/282,905.04 = 120,120.16/x
  3. Step 3: Cross multiply
    204,999.52x = 282,905.04 × 120,120.16
  4. Step 4: Simplify right side
    204,999.52x = 33,982,598,669.61
  5. Step 5: Solve for x
    x = 33,982,598,669.61/204,999.52
  6. Step 6: Final answer
    x = 165,769.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.