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Finding the Fourth Proportional to 233,412.95, 321,431.93 and 202,772.07

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Solution

The fourth proportional to 233,412.95, 321,431.93 and 202,772.07 is: 279,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,412.95 : 321,431.93 = 202,772.07 : x
  2. Step 2: Convert to fraction form
    233,412.95/321,431.93 = 202,772.07/x
  3. Step 3: Cross multiply
    233,412.95x = 321,431.93 × 202,772.07
  4. Step 4: Simplify right side
    233,412.95x = 65,177,417,556.73
  5. Step 5: Solve for x
    x = 65,177,417,556.73/233,412.95
  6. Step 6: Final answer
    x = 279,236.51

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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.