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Finding the Fourth Proportional to 177,993.18, 245,624.54 and 97,418.97

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Solution

The fourth proportional to 177,993.18, 245,624.54 and 97,418.97 is: 134,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,993.18 : 245,624.54 = 97,418.97 : x
  2. Step 2: Convert to fraction form
    177,993.18/245,624.54 = 97,418.97/x
  3. Step 3: Cross multiply
    177,993.18x = 245,624.54 × 97,418.97
  4. Step 4: Simplify right side
    177,993.18x = 23,928,489,206.43
  5. Step 5: Solve for x
    x = 23,928,489,206.43/177,993.18
  6. Step 6: Final answer
    x = 134,434.87

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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.