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Finding the Fourth Proportional to 194,118.94, 291,190.97 and 61,004.76

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Solution

The fourth proportional to 194,118.94, 291,190.97 and 61,004.76 is: 91,511.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,118.94 : 291,190.97 = 61,004.76 : x
  2. Step 2: Convert to fraction form
    194,118.94/291,190.97 = 61,004.76/x
  3. Step 3: Cross multiply
    194,118.94x = 291,190.97 × 61,004.76
  4. Step 4: Simplify right side
    194,118.94x = 17,764,033,478.04
  5. Step 5: Solve for x
    x = 17,764,033,478.04/194,118.94
  6. Step 6: Final answer
    x = 91,511.08

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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.