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Finding the Fourth Proportional to 170,143.27, 255,253.01 and 51,823.87

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Solution

The fourth proportional to 170,143.27, 255,253.01 and 51,823.87 is: 77,747.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,143.27 : 255,253.01 = 51,823.87 : x
  2. Step 2: Convert to fraction form
    170,143.27/255,253.01 = 51,823.87/x
  3. Step 3: Cross multiply
    170,143.27x = 255,253.01 × 51,823.87
  4. Step 4: Simplify right side
    170,143.27x = 13,228,198,807.35
  5. Step 5: Solve for x
    x = 13,228,198,807.35/170,143.27
  6. Step 6: Final answer
    x = 77,747.41

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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.