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Finding the Fourth Proportional to 119,535.77, 164,960.58 and 65,825.78

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Solution

The fourth proportional to 119,535.77, 164,960.58 and 65,825.78 is: 90,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,535.77 : 164,960.58 = 65,825.78 : x
  2. Step 2: Convert to fraction form
    119,535.77/164,960.58 = 65,825.78/x
  3. Step 3: Cross multiply
    119,535.77x = 164,960.58 × 65,825.78
  4. Step 4: Simplify right side
    119,535.77x = 10,858,658,022.95
  5. Step 5: Solve for x
    x = 10,858,658,022.95/119,535.77
  6. Step 6: Final answer
    x = 90,840.24

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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.