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Finding the Fourth Proportional to 109,193.49, 150,685.38 and 61,446.69

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Solution

The fourth proportional to 109,193.49, 150,685.38 and 61,446.69 is: 84,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,193.49 : 150,685.38 = 61,446.69 : x
  2. Step 2: Convert to fraction form
    109,193.49/150,685.38 = 61,446.69/x
  3. Step 3: Cross multiply
    109,193.49x = 150,685.38 × 61,446.69
  4. Step 4: Simplify right side
    109,193.49x = 9,259,117,832.39
  5. Step 5: Solve for x
    x = 9,259,117,832.39/109,193.49
  6. Step 6: Final answer
    x = 84,795.51

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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.