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Finding the Fourth Proportional to 238,642.38, 329,326.71 and 131,214.24

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Solution

The fourth proportional to 238,642.38, 329,326.71 and 131,214.24 is: 181,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,642.38 : 329,326.71 = 131,214.24 : x
  2. Step 2: Convert to fraction form
    238,642.38/329,326.71 = 131,214.24/x
  3. Step 3: Cross multiply
    238,642.38x = 329,326.71 × 131,214.24
  4. Step 4: Simplify right side
    238,642.38x = 43,212,353,964.35
  5. Step 5: Solve for x
    x = 43,212,353,964.35/238,642.38
  6. Step 6: Final answer
    x = 181,075.78

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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.