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Finding the Fourth Proportional to 233,102.36, 321,732.19 and 148,202.84

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Solution

The fourth proportional to 233,102.36, 321,732.19 and 148,202.84 is: 204,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,102.36 : 321,732.19 = 148,202.84 : x
  2. Step 2: Convert to fraction form
    233,102.36/321,732.19 = 148,202.84/x
  3. Step 3: Cross multiply
    233,102.36x = 321,732.19 × 148,202.84
  4. Step 4: Simplify right side
    233,102.36x = 47,681,622,298.25
  5. Step 5: Solve for x
    x = 47,681,622,298.25/233,102.36
  6. Step 6: Final answer
    x = 204,552.30

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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.