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Finding the Fourth Proportional to 160,843.23, 221,945.74 and 89,205.30

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Solution

The fourth proportional to 160,843.23, 221,945.74 and 89,205.30 is: 123,093.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,843.23 : 221,945.74 = 89,205.30 : x
  2. Step 2: Convert to fraction form
    160,843.23/221,945.74 = 89,205.30/x
  3. Step 3: Cross multiply
    160,843.23x = 221,945.74 × 89,205.30
  4. Step 4: Simplify right side
    160,843.23x = 19,798,736,320.42
  5. Step 5: Solve for x
    x = 19,798,736,320.42/160,843.23
  6. Step 6: Final answer
    x = 123,093.38

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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.