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Finding the Fourth Proportional to 210,398.46, 315,604.17 and 92,008.86

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Solution

The fourth proportional to 210,398.46, 315,604.17 and 92,008.86 is: 138,016.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,398.46 : 315,604.17 = 92,008.86 : x
  2. Step 2: Convert to fraction form
    210,398.46/315,604.17 = 92,008.86/x
  3. Step 3: Cross multiply
    210,398.46x = 315,604.17 × 92,008.86
  4. Step 4: Simplify right side
    210,398.46x = 29,038,379,892.95
  5. Step 5: Solve for x
    x = 29,038,379,892.95/210,398.46
  6. Step 6: Final answer
    x = 138,016.12

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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.