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Finding the Fourth Proportional to 106,947, 147,625.80 and 62,235

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Solution

The fourth proportional to 106,947, 147,625.80 and 62,235 is: 85,906.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,947 : 147,625.80 = 62,235 : x
  2. Step 2: Convert to fraction form
    106,947/147,625.80 = 62,235/x
  3. Step 3: Cross multiply
    106,947x = 147,625.80 × 62,235
  4. Step 4: Simplify right side
    106,947x = 9,187,491,663
  5. Step 5: Solve for x
    x = 9,187,491,663/106,947
  6. Step 6: Final answer
    x = 85,906.96

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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.