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Finding the Fourth Proportional to 194,273.46, 291,237.30 and 75,917.88

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Solution

The fourth proportional to 194,273.46, 291,237.30 and 75,917.88 is: 113,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,273.46 : 291,237.30 = 75,917.88 : x
  2. Step 2: Convert to fraction form
    194,273.46/291,237.30 = 75,917.88/x
  3. Step 3: Cross multiply
    194,273.46x = 291,237.30 × 75,917.88
  4. Step 4: Simplify right side
    194,273.46x = 22,110,118,392.92
  5. Step 5: Solve for x
    x = 22,110,118,392.92/194,273.46
  6. Step 6: Final answer
    x = 113,809.26

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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.