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Finding the Fourth Proportional to 117,344.14, 175,938.44 and 42,454.54

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Solution

The fourth proportional to 117,344.14, 175,938.44 and 42,454.54 is: 63,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,344.14 : 175,938.44 = 42,454.54 : x
  2. Step 2: Convert to fraction form
    117,344.14/175,938.44 = 42,454.54/x
  3. Step 3: Cross multiply
    117,344.14x = 175,938.44 × 42,454.54
  4. Step 4: Simplify right side
    117,344.14x = 7,469,386,092.09
  5. Step 5: Solve for x
    x = 7,469,386,092.09/117,344.14
  6. Step 6: Final answer
    x = 63,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.