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Finding the Fourth Proportional to 200,832.48, 301,285.62 and 163,717.80

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Solution

The fourth proportional to 200,832.48, 301,285.62 and 163,717.80 is: 245,606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,832.48 : 301,285.62 = 163,717.80 : x
  2. Step 2: Convert to fraction form
    200,832.48/301,285.62 = 163,717.80/x
  3. Step 3: Cross multiply
    200,832.48x = 301,285.62 × 163,717.80
  4. Step 4: Simplify right side
    200,832.48x = 49,325,818,878.04
  5. Step 5: Solve for x
    x = 49,325,818,878.04/200,832.48
  6. Step 6: Final answer
    x = 245,606.78

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