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Finding the Fourth Proportional to 194,761.84, 292,175.05 and 68,369.30

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Solution

The fourth proportional to 194,761.84, 292,175.05 and 68,369.30 is: 102,565.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,761.84 : 292,175.05 = 68,369.30 : x
  2. Step 2: Convert to fraction form
    194,761.84/292,175.05 = 68,369.30/x
  3. Step 3: Cross multiply
    194,761.84x = 292,175.05 × 68,369.30
  4. Step 4: Simplify right side
    194,761.84x = 19,975,803,645.97
  5. Step 5: Solve for x
    x = 19,975,803,645.97/194,761.84
  6. Step 6: Final answer
    x = 102,565.29

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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.