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Finding the Fourth Proportional to 227,728.32, 314,275.68 and 199,385.28

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Solution

The fourth proportional to 227,728.32, 314,275.68 and 199,385.28 is: 275,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,728.32 : 314,275.68 = 199,385.28 : x
  2. Step 2: Convert to fraction form
    227,728.32/314,275.68 = 199,385.28/x
  3. Step 3: Cross multiply
    227,728.32x = 314,275.68 × 199,385.28
  4. Step 4: Simplify right side
    227,728.32x = 62,661,944,453.99
  5. Step 5: Solve for x
    x = 62,661,944,453.99/227,728.32
  6. Step 6: Final answer
    x = 275,160.97

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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.