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Finding the Fourth Proportional to 194,304.96, 291,401.55 and 82,010.48

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Solution

The fourth proportional to 194,304.96, 291,401.55 and 82,010.48 is: 122,992.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,304.96 : 291,401.55 = 82,010.48 : x
  2. Step 2: Convert to fraction form
    194,304.96/291,401.55 = 82,010.48/x
  3. Step 3: Cross multiply
    194,304.96x = 291,401.55 × 82,010.48
  4. Step 4: Simplify right side
    194,304.96x = 23,897,979,531.24
  5. Step 5: Solve for x
    x = 23,897,979,531.24/194,304.96
  6. Step 6: Final answer
    x = 122,992.12

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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.