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Finding the Fourth Proportional to 204,608.10, 282,373.38 and 124,039.02

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Solution

The fourth proportional to 204,608.10, 282,373.38 and 124,039.02 is: 171,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,608.10 : 282,373.38 = 124,039.02 : x
  2. Step 2: Convert to fraction form
    204,608.10/282,373.38 = 124,039.02/x
  3. Step 3: Cross multiply
    204,608.10x = 282,373.38 × 124,039.02
  4. Step 4: Simplify right side
    204,608.10x = 35,025,318,388.19
  5. Step 5: Solve for x
    x = 35,025,318,388.19/204,608.10
  6. Step 6: Final answer
    x = 171,182.46

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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.