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Finding the Fourth Proportional to 233,884.98, 322,844.24 and 138,391.45

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Solution

The fourth proportional to 233,884.98, 322,844.24 and 138,391.45 is: 191,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,884.98 : 322,844.24 = 138,391.45 : x
  2. Step 2: Convert to fraction form
    233,884.98/322,844.24 = 138,391.45/x
  3. Step 3: Cross multiply
    233,884.98x = 322,844.24 × 138,391.45
  4. Step 4: Simplify right side
    233,884.98x = 44,678,882,036.62
  5. Step 5: Solve for x
    x = 44,678,882,036.62/233,884.98
  6. Step 6: Final answer
    x = 191,029.29

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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.