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Finding the Fourth Proportional to 194,162.74, 291,243.84 and 61,054.66

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Solution

The fourth proportional to 194,162.74, 291,243.84 and 61,054.66 is: 91,581.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,162.74 : 291,243.84 = 61,054.66 : x
  2. Step 2: Convert to fraction form
    194,162.74/291,243.84 = 61,054.66/x
  3. Step 3: Cross multiply
    194,162.74x = 291,243.84 × 61,054.66
  4. Step 4: Simplify right side
    194,162.74x = 17,781,793,628.29
  5. Step 5: Solve for x
    x = 17,781,793,628.29/194,162.74
  6. Step 6: Final answer
    x = 91,581.91

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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.