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Finding the Fourth Proportional to 213,491.46, 319,794.24 and 124,474.98

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Solution

The fourth proportional to 213,491.46, 319,794.24 and 124,474.98 is: 186,454.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,491.46 : 319,794.24 = 124,474.98 : x
  2. Step 2: Convert to fraction form
    213,491.46/319,794.24 = 124,474.98/x
  3. Step 3: Cross multiply
    213,491.46x = 319,794.24 × 124,474.98
  4. Step 4: Simplify right side
    213,491.46x = 39,806,381,628.12
  5. Step 5: Solve for x
    x = 39,806,381,628.12/213,491.46
  6. Step 6: Final answer
    x = 186,454.21

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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.