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Finding the Fourth Proportional to 150,497.82, 225,728.28 and 87,352.34

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Solution

The fourth proportional to 150,497.82, 225,728.28 and 87,352.34 is: 131,017.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,497.82 : 225,728.28 = 87,352.34 : x
  2. Step 2: Convert to fraction form
    150,497.82/225,728.28 = 87,352.34/x
  3. Step 3: Cross multiply
    150,497.82x = 225,728.28 × 87,352.34
  4. Step 4: Simplify right side
    150,497.82x = 19,717,892,333.53
  5. Step 5: Solve for x
    x = 19,717,892,333.53/150,497.82
  6. Step 6: Final answer
    x = 131,017.79

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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.