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Finding the Fourth Proportional to 194,163.74, 291,245.34 and 61,055.66

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Solution

The fourth proportional to 194,163.74, 291,245.34 and 61,055.66 is: 91,583.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,163.74 : 291,245.34 = 61,055.66 : x
  2. Step 2: Convert to fraction form
    194,163.74/291,245.34 = 61,055.66/x
  3. Step 3: Cross multiply
    194,163.74x = 291,245.34 × 61,055.66
  4. Step 4: Simplify right side
    194,163.74x = 17,782,176,455.62
  5. Step 5: Solve for x
    x = 17,782,176,455.62/194,163.74
  6. Step 6: Final answer
    x = 91,583.41

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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.