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Finding the Fourth Proportional to 119,361.26, 164,721.99 and 65,649.72

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Solution

The fourth proportional to 119,361.26, 164,721.99 and 65,649.72 is: 90,598.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,361.26 : 164,721.99 = 65,649.72 : x
  2. Step 2: Convert to fraction form
    119,361.26/164,721.99 = 65,649.72/x
  3. Step 3: Cross multiply
    119,361.26x = 164,721.99 × 65,649.72
  4. Step 4: Simplify right side
    119,361.26x = 10,813,953,015.96
  5. Step 5: Solve for x
    x = 10,813,953,015.96/119,361.26
  6. Step 6: Final answer
    x = 90,598.51

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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.