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Finding the Fourth Proportional to 150,065.92, 225,099.25 and 61,319.42

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Solution

The fourth proportional to 150,065.92, 225,099.25 and 61,319.42 is: 91,979.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,065.92 : 225,099.25 = 61,319.42 : x
  2. Step 2: Convert to fraction form
    150,065.92/225,099.25 = 61,319.42/x
  3. Step 3: Cross multiply
    150,065.92x = 225,099.25 × 61,319.42
  4. Step 4: Simplify right side
    150,065.92x = 13,802,955,362.68
  5. Step 5: Solve for x
    x = 13,802,955,362.68/150,065.92
  6. Step 6: Final answer
    x = 91,979.28

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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.