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Finding the Fourth Proportional to 119,257.38, 164,579.13 and 65,544.30

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Solution

The fourth proportional to 119,257.38, 164,579.13 and 65,544.30 is: 90,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,257.38 : 164,579.13 = 65,544.30 : x
  2. Step 2: Convert to fraction form
    119,257.38/164,579.13 = 65,544.30/x
  3. Step 3: Cross multiply
    119,257.38x = 164,579.13 × 65,544.30
  4. Step 4: Simplify right side
    119,257.38x = 10,787,223,870.46
  5. Step 5: Solve for x
    x = 10,787,223,870.46/119,257.38
  6. Step 6: Final answer
    x = 90,453.30

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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.