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Finding the Fourth Proportional to 194,005.94, 291,009.03 and 53,764.56

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Solution

The fourth proportional to 194,005.94, 291,009.03 and 53,764.56 is: 80,646.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,005.94 : 291,009.03 = 53,764.56 : x
  2. Step 2: Convert to fraction form
    194,005.94/291,009.03 = 53,764.56/x
  3. Step 3: Cross multiply
    194,005.94x = 291,009.03 × 53,764.56
  4. Step 4: Simplify right side
    194,005.94x = 15,645,972,453.98
  5. Step 5: Solve for x
    x = 15,645,972,453.98/194,005.94
  6. Step 6: Final answer
    x = 80,646.88

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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.