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Finding the Fourth Proportional to 313,096.83, 432,073.78 and 169,856.85

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Solution

The fourth proportional to 313,096.83, 432,073.78 and 169,856.85 is: 234,402.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,096.83 : 432,073.78 = 169,856.85 : x
  2. Step 2: Convert to fraction form
    313,096.83/432,073.78 = 169,856.85/x
  3. Step 3: Cross multiply
    313,096.83x = 432,073.78 × 169,856.85
  4. Step 4: Simplify right side
    313,096.83x = 73,390,691,893.94
  5. Step 5: Solve for x
    x = 73,390,691,893.94/313,096.83
  6. Step 6: Final answer
    x = 234,402.54

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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.