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Finding the Fourth Proportional to 194,046.56, 291,106.84 and 67,722.88

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Solution

The fourth proportional to 194,046.56, 291,106.84 and 67,722.88 is: 101,597.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,046.56 : 291,106.84 = 67,722.88 : x
  2. Step 2: Convert to fraction form
    194,046.56/291,106.84 = 67,722.88/x
  3. Step 3: Cross multiply
    194,046.56x = 291,106.84 × 67,722.88
  4. Step 4: Simplify right side
    194,046.56x = 19,714,594,514.84
  5. Step 5: Solve for x
    x = 19,714,594,514.84/194,046.56
  6. Step 6: Final answer
    x = 101,597.24

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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.