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Finding the Fourth Proportional to 233,238.42, 321,865.99 and 131,264.01

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Solution

The fourth proportional to 233,238.42, 321,865.99 and 131,264.01 is: 181,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,238.42 : 321,865.99 = 131,264.01 : x
  2. Step 2: Convert to fraction form
    233,238.42/321,865.99 = 131,264.01/x
  3. Step 3: Cross multiply
    233,238.42x = 321,865.99 × 131,264.01
  4. Step 4: Simplify right side
    233,238.42x = 42,249,420,201.86
  5. Step 5: Solve for x
    x = 42,249,420,201.86/233,238.42
  6. Step 6: Final answer
    x = 181,142.63

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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.