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Finding the Fourth Proportional to 194,738.82, 290,472.06 and 176,799.96

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Solution

The fourth proportional to 194,738.82, 290,472.06 and 176,799.96 is: 263,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,738.82 : 290,472.06 = 176,799.96 : x
  2. Step 2: Convert to fraction form
    194,738.82/290,472.06 = 176,799.96/x
  3. Step 3: Cross multiply
    194,738.82x = 290,472.06 × 176,799.96
  4. Step 4: Simplify right side
    194,738.82x = 51,355,448,589.12
  5. Step 5: Solve for x
    x = 51,355,448,589.12/194,738.82
  6. Step 6: Final answer
    x = 263,714.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.