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Finding the Fourth Proportional to 175,647.92, 263,471.44 and 135,724.96

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Solution

The fourth proportional to 175,647.92, 263,471.44 and 135,724.96 is: 203,587.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,647.92 : 263,471.44 = 135,724.96 : x
  2. Step 2: Convert to fraction form
    175,647.92/263,471.44 = 135,724.96/x
  3. Step 3: Cross multiply
    175,647.92x = 263,471.44 × 135,724.96
  4. Step 4: Simplify right side
    175,647.92x = 35,759,650,655.14
  5. Step 5: Solve for x
    x = 35,759,650,655.14/175,647.92
  6. Step 6: Final answer
    x = 203,587.10

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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.