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Finding the Fourth Proportional to 117,257.35, 175,884.15 and 37,294.16

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Solution

The fourth proportional to 117,257.35, 175,884.15 and 37,294.16 is: 55,940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,257.35 : 175,884.15 = 37,294.16 : x
  2. Step 2: Convert to fraction form
    117,257.35/175,884.15 = 37,294.16/x
  3. Step 3: Cross multiply
    117,257.35x = 175,884.15 × 37,294.16
  4. Step 4: Simplify right side
    117,257.35x = 6,559,451,631.56
  5. Step 5: Solve for x
    x = 6,559,451,631.56/117,257.35
  6. Step 6: Final answer
    x = 55,940.65

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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.