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Finding the Fourth Proportional to 204,648.31, 306,406.41 and 104,593.06

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Solution

The fourth proportional to 204,648.31, 306,406.41 and 104,593.06 is: 156,600.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,648.31 : 306,406.41 = 104,593.06 : x
  2. Step 2: Convert to fraction form
    204,648.31/306,406.41 = 104,593.06/x
  3. Step 3: Cross multiply
    204,648.31x = 306,406.41 × 104,593.06
  4. Step 4: Simplify right side
    204,648.31x = 32,047,984,025.51
  5. Step 5: Solve for x
    x = 32,047,984,025.51/204,648.31
  6. Step 6: Final answer
    x = 156,600.29

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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.