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Finding the Fourth Proportional to 233,843.48, 322,711.26 and 133,235

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Solution

The fourth proportional to 233,843.48, 322,711.26 and 133,235 is: 183,868.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,843.48 : 322,711.26 = 133,235 : x
  2. Step 2: Convert to fraction form
    233,843.48/322,711.26 = 133,235/x
  3. Step 3: Cross multiply
    233,843.48x = 322,711.26 × 133,235
  4. Step 4: Simplify right side
    233,843.48x = 42,996,434,726.10
  5. Step 5: Solve for x
    x = 42,996,434,726.10/233,843.48
  6. Step 6: Final answer
    x = 183,868.44

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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.