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Finding the Fourth Proportional to 166,898.22, 250,386.71 and 54,578

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Solution

The fourth proportional to 166,898.22, 250,386.71 and 54,578 is: 81,879.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,898.22 : 250,386.71 = 54,578 : x
  2. Step 2: Convert to fraction form
    166,898.22/250,386.71 = 54,578/x
  3. Step 3: Cross multiply
    166,898.22x = 250,386.71 × 54,578
  4. Step 4: Simplify right side
    166,898.22x = 13,665,605,858.38
  5. Step 5: Solve for x
    x = 13,665,605,858.38/166,898.22
  6. Step 6: Final answer
    x = 81,879.88

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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.