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Finding the Fourth Proportional to 150,396.98, 225,618.14 and 65,031.19

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Solution

The fourth proportional to 150,396.98, 225,618.14 and 65,031.19 is: 97,556.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,396.98 : 225,618.14 = 65,031.19 : x
  2. Step 2: Convert to fraction form
    150,396.98/225,618.14 = 65,031.19/x
  3. Step 3: Cross multiply
    150,396.98x = 225,618.14 × 65,031.19
  4. Step 4: Simplify right side
    150,396.98x = 14,672,216,129.79
  5. Step 5: Solve for x
    x = 14,672,216,129.79/150,396.98
  6. Step 6: Final answer
    x = 97,556.59

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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.