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Finding the Fourth Proportional to 194,408.52, 291,651.66 and 61,309.32

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Solution

The fourth proportional to 194,408.52, 291,651.66 and 61,309.32 is: 91,976.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408.52 : 291,651.66 = 61,309.32 : x
  2. Step 2: Convert to fraction form
    194,408.52/291,651.66 = 61,309.32/x
  3. Step 3: Cross multiply
    194,408.52x = 291,651.66 × 61,309.32
  4. Step 4: Simplify right side
    194,408.52x = 17,880,964,951.47
  5. Step 5: Solve for x
    x = 17,880,964,951.47/194,408.52
  6. Step 6: Final answer
    x = 91,976.24

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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.