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Finding the Fourth Proportional to 110,895.30, 152,972.01 and 75,022.02

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Solution

The fourth proportional to 110,895.30, 152,972.01 and 75,022.02 is: 103,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,895.30 : 152,972.01 = 75,022.02 : x
  2. Step 2: Convert to fraction form
    110,895.30/152,972.01 = 75,022.02/x
  3. Step 3: Cross multiply
    110,895.30x = 152,972.01 × 75,022.02
  4. Step 4: Simplify right side
    110,895.30x = 11,476,269,193.66
  5. Step 5: Solve for x
    x = 11,476,269,193.66/110,895.30
  6. Step 6: Final answer
    x = 103,487.43

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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.