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Finding the Fourth Proportional to 227,996.66, 314,837.13 and 142,102.23

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Solution

The fourth proportional to 227,996.66, 314,837.13 and 142,102.23 is: 196,226.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,996.66 : 314,837.13 = 142,102.23 : x
  2. Step 2: Convert to fraction form
    227,996.66/314,837.13 = 142,102.23/x
  3. Step 3: Cross multiply
    227,996.66x = 314,837.13 × 142,102.23
  4. Step 4: Simplify right side
    227,996.66x = 44,739,058,259.80
  5. Step 5: Solve for x
    x = 44,739,058,259.80/227,996.66
  6. Step 6: Final answer
    x = 196,226.82

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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.