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Finding the Fourth Proportional to 137,138.70, 205,634.08 and 62,217.96

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Solution

The fourth proportional to 137,138.70, 205,634.08 and 62,217.96 is: 93,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138.70 : 205,634.08 = 62,217.96 : x
  2. Step 2: Convert to fraction form
    137,138.70/205,634.08 = 62,217.96/x
  3. Step 3: Cross multiply
    137,138.70x = 205,634.08 × 62,217.96
  4. Step 4: Simplify right side
    137,138.70x = 12,794,133,633.71
  5. Step 5: Solve for x
    x = 12,794,133,633.71/137,138.70
  6. Step 6: Final answer
    x = 93,293.39

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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.