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Finding the Fourth Proportional to 106,930.50, 147,602.97 and 62,218.50

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Solution

The fourth proportional to 106,930.50, 147,602.97 and 62,218.50 is: 85,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,930.50 : 147,602.97 = 62,218.50 : x
  2. Step 2: Convert to fraction form
    106,930.50/147,602.97 = 62,218.50/x
  3. Step 3: Cross multiply
    106,930.50x = 147,602.97 × 62,218.50
  4. Step 4: Simplify right side
    106,930.50x = 9,183,635,388.95
  5. Step 5: Solve for x
    x = 9,183,635,388.95/106,930.50
  6. Step 6: Final answer
    x = 85,884.15

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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.