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Finding the Fourth Proportional to 194,643.27, 291,939.66 and 61,536.96

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Solution

The fourth proportional to 194,643.27, 291,939.66 and 61,536.96 is: 92,297.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,643.27 : 291,939.66 = 61,536.96 : x
  2. Step 2: Convert to fraction form
    194,643.27/291,939.66 = 61,536.96/x
  3. Step 3: Cross multiply
    194,643.27x = 291,939.66 × 61,536.96
  4. Step 4: Simplify right side
    194,643.27x = 17,965,079,179.83
  5. Step 5: Solve for x
    x = 17,965,079,179.83/194,643.27
  6. Step 6: Final answer
    x = 92,297.46

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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.