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Finding the Fourth Proportional to 214,717.29, 296,424.90 and 165,551.52

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Solution

The fourth proportional to 214,717.29, 296,424.90 and 165,551.52 is: 228,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,717.29 : 296,424.90 = 165,551.52 : x
  2. Step 2: Convert to fraction form
    214,717.29/296,424.90 = 165,551.52/x
  3. Step 3: Cross multiply
    214,717.29x = 296,424.90 × 165,551.52
  4. Step 4: Simplify right side
    214,717.29x = 49,073,591,933.09
  5. Step 5: Solve for x
    x = 49,073,591,933.09/214,717.29
  6. Step 6: Final answer
    x = 228,549.80

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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.