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Finding the Fourth Proportional to 205,850, 284,073 and 111,642

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Solution

The fourth proportional to 205,850, 284,073 and 111,642 is: 154,065.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,850 : 284,073 = 111,642 : x
  2. Step 2: Convert to fraction form
    205,850/284,073 = 111,642/x
  3. Step 3: Cross multiply
    205,850x = 284,073 × 111,642
  4. Step 4: Simplify right side
    205,850x = 31,714,477,866
  5. Step 5: Solve for x
    x = 31,714,477,866/205,850
  6. Step 6: Final answer
    x = 154,065.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.