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Finding the Fourth Proportional to 213,238.84, 319,163.80 and 157,056.80

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Solution

The fourth proportional to 213,238.84, 319,163.80 and 157,056.80 is: 235,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,238.84 : 319,163.80 = 157,056.80 : x
  2. Step 2: Convert to fraction form
    213,238.84/319,163.80 = 157,056.80/x
  3. Step 3: Cross multiply
    213,238.84x = 319,163.80 × 157,056.80
  4. Step 4: Simplify right side
    213,238.84x = 50,126,845,103.84
  5. Step 5: Solve for x
    x = 50,126,845,103.84/213,238.84
  6. Step 6: Final answer
    x = 235,073.71

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