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Finding the Fourth Proportional to 118,900.38, 164,082.49 and 65,184.25

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Solution

The fourth proportional to 118,900.38, 164,082.49 and 65,184.25 is: 89,954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,900.38 : 164,082.49 = 65,184.25 : x
  2. Step 2: Convert to fraction form
    118,900.38/164,082.49 = 65,184.25/x
  3. Step 3: Cross multiply
    118,900.38x = 164,082.49 × 65,184.25
  4. Step 4: Simplify right side
    118,900.38x = 10,695,593,475.62
  5. Step 5: Solve for x
    x = 10,695,593,475.62/118,900.38
  6. Step 6: Final answer
    x = 89,954.24

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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.