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Finding the Fourth Proportional to 213,229.53, 319,575.67 and 186,511.90

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Solution

The fourth proportional to 213,229.53, 319,575.67 and 186,511.90 is: 279,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,229.53 : 319,575.67 = 186,511.90 : x
  2. Step 2: Convert to fraction form
    213,229.53/319,575.67 = 186,511.90/x
  3. Step 3: Cross multiply
    213,229.53x = 319,575.67 × 186,511.90
  4. Step 4: Simplify right side
    213,229.53x = 59,604,665,405.47
  5. Step 5: Solve for x
    x = 59,604,665,405.47/213,229.53
  6. Step 6: Final answer
    x = 279,532.88

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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.