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Finding the Fourth Proportional to 194,964.94, 292,447.42 and 70,305.94

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Solution

The fourth proportional to 194,964.94, 292,447.42 and 70,305.94 is: 105,458.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,964.94 : 292,447.42 = 70,305.94 : x
  2. Step 2: Convert to fraction form
    194,964.94/292,447.42 = 70,305.94/x
  3. Step 3: Cross multiply
    194,964.94x = 292,447.42 × 70,305.94
  4. Step 4: Simplify right side
    194,964.94x = 20,560,789,856.79
  5. Step 5: Solve for x
    x = 20,560,789,856.79/194,964.94
  6. Step 6: Final answer
    x = 105,458.91

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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.