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Finding the Fourth Proportional to 199,634.41, 299,405.85 and 57,479.41

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Solution

The fourth proportional to 199,634.41, 299,405.85 and 57,479.41 is: 86,205.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634.41 : 299,405.85 = 57,479.41 : x
  2. Step 2: Convert to fraction form
    199,634.41/299,405.85 = 57,479.41/x
  3. Step 3: Cross multiply
    199,634.41x = 299,405.85 × 57,479.41
  4. Step 4: Simplify right side
    199,634.41x = 17,209,671,608.55
  5. Step 5: Solve for x
    x = 17,209,671,608.55/199,634.41
  6. Step 6: Final answer
    x = 86,205.94

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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.