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Finding the Fourth Proportional to 150,625.83, 207,865.74 and 82,641.54

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Solution

The fourth proportional to 150,625.83, 207,865.74 and 82,641.54 is: 114,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,625.83 : 207,865.74 = 82,641.54 : x
  2. Step 2: Convert to fraction form
    150,625.83/207,865.74 = 82,641.54/x
  3. Step 3: Cross multiply
    150,625.83x = 207,865.74 × 82,641.54
  4. Step 4: Simplify right side
    150,625.83x = 17,178,344,866.84
  5. Step 5: Solve for x
    x = 17,178,344,866.84/150,625.83
  6. Step 6: Final answer
    x = 114,046.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.