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Finding the Fourth Proportional to 232,908.88, 321,658.22 and 160,500.04

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Solution

The fourth proportional to 232,908.88, 321,658.22 and 160,500.04 is: 221,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,908.88 : 321,658.22 = 160,500.04 : x
  2. Step 2: Convert to fraction form
    232,908.88/321,658.22 = 160,500.04/x
  3. Step 3: Cross multiply
    232,908.88x = 321,658.22 × 160,500.04
  4. Step 4: Simplify right side
    232,908.88x = 51,626,157,176.33
  5. Step 5: Solve for x
    x = 51,626,157,176.33/232,908.88
  6. Step 6: Final answer
    x = 221,658.17

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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.