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Finding the Fourth Proportional to 119,361.24, 164,718.57 and 65,649.90

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Solution

The fourth proportional to 119,361.24, 164,718.57 and 65,649.90 is: 90,596.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361.24 : 164,718.57 = 65,649.90 : x
  2. Step 2: Convert to fraction form
    119,361.24/164,718.57 = 65,649.90/x
  3. Step 3: Cross multiply
    119,361.24x = 164,718.57 × 65,649.90
  4. Step 4: Simplify right side
    119,361.24x = 10,813,757,648.64
  5. Step 5: Solve for x
    x = 10,813,757,648.64/119,361.24
  6. Step 6: Final answer
    x = 90,596.89

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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.