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Finding the Fourth Proportional to 119,008.45, 164,233.34 and 65,292.49

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Solution

The fourth proportional to 119,008.45, 164,233.34 and 65,292.49 is: 90,104.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,008.45 : 164,233.34 = 65,292.49 : x
  2. Step 2: Convert to fraction form
    119,008.45/164,233.34 = 65,292.49/x
  3. Step 3: Cross multiply
    119,008.45x = 164,233.34 × 65,292.49
  4. Step 4: Simplify right side
    119,008.45x = 10,723,203,709.62
  5. Step 5: Solve for x
    x = 10,723,203,709.62/119,008.45
  6. Step 6: Final answer
    x = 90,104.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.