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Finding the Fourth Proportional to 119,009.62, 164,233.49 and 65,295.02

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Solution

The fourth proportional to 119,009.62, 164,233.49 and 65,295.02 is: 90,107.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,009.62 : 164,233.49 = 65,295.02 : x
  2. Step 2: Convert to fraction form
    119,009.62/164,233.49 = 65,295.02/x
  3. Step 3: Cross multiply
    119,009.62x = 164,233.49 × 65,295.02
  4. Step 4: Simplify right side
    119,009.62x = 10,723,629,211.35
  5. Step 5: Solve for x
    x = 10,723,629,211.35/119,009.62
  6. Step 6: Final answer
    x = 90,107.25

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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.