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Finding the Fourth Proportional to 198,889.71, 298,288.99 and 56,732.28

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Solution

The fourth proportional to 198,889.71, 298,288.99 and 56,732.28 is: 85,085.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,889.71 : 298,288.99 = 56,732.28 : x
  2. Step 2: Convert to fraction form
    198,889.71/298,288.99 = 56,732.28/x
  3. Step 3: Cross multiply
    198,889.71x = 298,288.99 × 56,732.28
  4. Step 4: Simplify right side
    198,889.71x = 16,922,614,501.60
  5. Step 5: Solve for x
    x = 16,922,614,501.60/198,889.71
  6. Step 6: Final answer
    x = 85,085.42

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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.