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Finding the Fourth Proportional to 137,138.45, 205,633.71 and 62,217.71

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Solution

The fourth proportional to 137,138.45, 205,633.71 and 62,217.71 is: 93,293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.45 : 205,633.71 = 62,217.71 : x
  2. Step 2: Convert to fraction form
    137,138.45/205,633.71 = 62,217.71/x
  3. Step 3: Cross multiply
    137,138.45x = 205,633.71 × 62,217.71
  4. Step 4: Simplify right side
    137,138.45x = 12,794,058,932.43
  5. Step 5: Solve for x
    x = 12,794,058,932.43/137,138.45
  6. Step 6: Final answer
    x = 93,293.01

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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.