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Finding the Fourth Proportional to 319,538.12, 479,187.56 and 137,145.90

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Solution

The fourth proportional to 319,538.12, 479,187.56 and 137,145.90 is: 205,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,538.12 : 479,187.56 = 137,145.90 : x
  2. Step 2: Convert to fraction form
    319,538.12/479,187.56 = 137,145.90/x
  3. Step 3: Cross multiply
    319,538.12x = 479,187.56 × 137,145.90
  4. Step 4: Simplify right side
    319,538.12x = 65,718,606,789.07
  5. Step 5: Solve for x
    x = 65,718,606,789.07/319,538.12
  6. Step 6: Final answer
    x = 205,667.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.