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Finding the Fourth Proportional to 301,124.47, 451,611.09 and 123,680.47

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Solution

The fourth proportional to 301,124.47, 451,611.09 and 123,680.47 is: 185,489.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,124.47 : 451,611.09 = 123,680.47 : x
  2. Step 2: Convert to fraction form
    301,124.47/451,611.09 = 123,680.47/x
  3. Step 3: Cross multiply
    301,124.47x = 451,611.09 × 123,680.47
  4. Step 4: Simplify right side
    301,124.47x = 55,855,471,868.41
  5. Step 5: Solve for x
    x = 55,855,471,868.41/301,124.47
  6. Step 6: Final answer
    x = 185,489.65

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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.