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Finding the Fourth Proportional to 233,232.36, 321,803.64 and 131,238

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Solution

The fourth proportional to 233,232.36, 321,803.64 and 131,238 is: 181,076.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,232.36 : 321,803.64 = 131,238 : x
  2. Step 2: Convert to fraction form
    233,232.36/321,803.64 = 131,238/x
  3. Step 3: Cross multiply
    233,232.36x = 321,803.64 × 131,238
  4. Step 4: Simplify right side
    233,232.36x = 42,232,866,106.32
  5. Step 5: Solve for x
    x = 42,232,866,106.32/233,232.36
  6. Step 6: Final answer
    x = 181,076.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.