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Finding the Fourth Proportional to 205,412.30, 307,600.05 and 163,940.30

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Solution

The fourth proportional to 205,412.30, 307,600.05 and 163,940.30 is: 245,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,412.30 : 307,600.05 = 163,940.30 : x
  2. Step 2: Convert to fraction form
    205,412.30/307,600.05 = 163,940.30/x
  3. Step 3: Cross multiply
    205,412.30x = 307,600.05 × 163,940.30
  4. Step 4: Simplify right side
    205,412.30x = 50,428,044,477.02
  5. Step 5: Solve for x
    x = 50,428,044,477.02/205,412.30
  6. Step 6: Final answer
    x = 245,496.71

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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.