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Finding the Fourth Proportional to 187,096.74, 258,181.35 and 102,213.78

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Solution

The fourth proportional to 187,096.74, 258,181.35 and 102,213.78 is: 141,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,096.74 : 258,181.35 = 102,213.78 : x
  2. Step 2: Convert to fraction form
    187,096.74/258,181.35 = 102,213.78/x
  3. Step 3: Cross multiply
    187,096.74x = 258,181.35 × 102,213.78
  4. Step 4: Simplify right side
    187,096.74x = 26,389,691,709.00
  5. Step 5: Solve for x
    x = 26,389,691,709.00/187,096.74
  6. Step 6: Final answer
    x = 141,048.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.