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Finding the Fourth Proportional to 199,449.86, 299,172.50 and 57,298.62

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Solution

The fourth proportional to 199,449.86, 299,172.50 and 57,298.62 is: 85,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,449.86 : 299,172.50 = 57,298.62 : x
  2. Step 2: Convert to fraction form
    199,449.86/299,172.50 = 57,298.62/x
  3. Step 3: Cross multiply
    199,449.86x = 299,172.50 × 57,298.62
  4. Step 4: Simplify right side
    199,449.86x = 17,142,171,391.95
  5. Step 5: Solve for x
    x = 17,142,171,391.95/199,449.86
  6. Step 6: Final answer
    x = 85,947.27

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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.