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Finding the Fourth Proportional to 164,782.62, 227,401.59 and 89,332.38

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Solution

The fourth proportional to 164,782.62, 227,401.59 and 89,332.38 is: 123,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,782.62 : 227,401.59 = 89,332.38 : x
  2. Step 2: Convert to fraction form
    164,782.62/227,401.59 = 89,332.38/x
  3. Step 3: Cross multiply
    164,782.62x = 227,401.59 × 89,332.38
  4. Step 4: Simplify right side
    164,782.62x = 20,314,325,250.48
  5. Step 5: Solve for x
    x = 20,314,325,250.48/164,782.62
  6. Step 6: Final answer
    x = 123,279.54

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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.