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Finding the Fourth Proportional to 150,240.72, 225,162.63 and 65,873.82

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Solution

The fourth proportional to 150,240.72, 225,162.63 and 65,873.82 is: 98,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,240.72 : 225,162.63 = 65,873.82 : x
  2. Step 2: Convert to fraction form
    150,240.72/225,162.63 = 65,873.82/x
  3. Step 3: Cross multiply
    150,240.72x = 225,162.63 × 65,873.82
  4. Step 4: Simplify right side
    150,240.72x = 14,832,322,559.35
  5. Step 5: Solve for x
    x = 14,832,322,559.35/150,240.72
  6. Step 6: Final answer
    x = 98,723.72

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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.