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Finding the Fourth Proportional to 202,662, 279,673.56 and 113,238

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Solution

The fourth proportional to 202,662, 279,673.56 and 113,238 is: 156,268.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,662 : 279,673.56 = 113,238 : x
  2. Step 2: Convert to fraction form
    202,662/279,673.56 = 113,238/x
  3. Step 3: Cross multiply
    202,662x = 279,673.56 × 113,238
  4. Step 4: Simplify right side
    202,662x = 31,669,674,587.28
  5. Step 5: Solve for x
    x = 31,669,674,587.28/202,662
  6. Step 6: Final answer
    x = 156,268.44

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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.