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Finding the Fourth Proportional to 159,044.91, 219,408.83 and 140,914.13

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Solution

The fourth proportional to 159,044.91, 219,408.83 and 140,914.13 is: 194,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,044.91 : 219,408.83 = 140,914.13 : x
  2. Step 2: Convert to fraction form
    159,044.91/219,408.83 = 140,914.13/x
  3. Step 3: Cross multiply
    159,044.91x = 219,408.83 × 140,914.13
  4. Step 4: Simplify right side
    159,044.91x = 30,917,802,592.15
  5. Step 5: Solve for x
    x = 30,917,802,592.15/159,044.91
  6. Step 6: Final answer
    x = 194,396.68

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1.5x scale

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.