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Finding the Fourth Proportional to 239,882.21, 359,824.98 and 164,774.70

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Solution

The fourth proportional to 239,882.21, 359,824.98 and 164,774.70 is: 247,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,882.21 : 359,824.98 = 164,774.70 : x
  2. Step 2: Convert to fraction form
    239,882.21/359,824.98 = 164,774.70/x
  3. Step 3: Cross multiply
    239,882.21x = 359,824.98 × 164,774.70
  4. Step 4: Simplify right side
    239,882.21x = 59,290,054,481.35
  5. Step 5: Solve for x
    x = 59,290,054,481.35/239,882.21
  6. Step 6: Final answer
    x = 247,163.20

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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.