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Finding the Fourth Proportional to 194,965.32, 292,540.94 and 106,216.86

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Solution

The fourth proportional to 194,965.32, 292,540.94 and 106,216.86 is: 159,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,965.32 : 292,540.94 = 106,216.86 : x
  2. Step 2: Convert to fraction form
    194,965.32/292,540.94 = 106,216.86/x
  3. Step 3: Cross multiply
    194,965.32x = 292,540.94 × 106,216.86
  4. Step 4: Simplify right side
    194,965.32x = 31,072,780,068.25
  5. Step 5: Solve for x
    x = 31,072,780,068.25/194,965.32
  6. Step 6: Final answer
    x = 159,375.93

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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.