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Finding the Fourth Proportional to 161,906.30, 242,859.45 and 158,795.90

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Solution

The fourth proportional to 161,906.30, 242,859.45 and 158,795.90 is: 238,193.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,906.30 : 242,859.45 = 158,795.90 : x
  2. Step 2: Convert to fraction form
    161,906.30/242,859.45 = 158,795.90/x
  3. Step 3: Cross multiply
    161,906.30x = 242,859.45 × 158,795.90
  4. Step 4: Simplify right side
    161,906.30x = 38,565,084,936.26
  5. Step 5: Solve for x
    x = 38,565,084,936.26/161,906.30
  6. Step 6: Final answer
    x = 238,193.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.