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Finding the Fourth Proportional to 160,838.33, 221,983.50 and 89,241.41

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Solution

The fourth proportional to 160,838.33, 221,983.50 and 89,241.41 is: 123,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,838.33 : 221,983.50 = 89,241.41 : x
  2. Step 2: Convert to fraction form
    160,838.33/221,983.50 = 89,241.41/x
  3. Step 3: Cross multiply
    160,838.33x = 221,983.50 × 89,241.41
  4. Step 4: Simplify right side
    160,838.33x = 19,810,121,426.35
  5. Step 5: Solve for x
    x = 19,810,121,426.35/160,838.33
  6. Step 6: Final answer
    x = 123,167.92

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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.