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Finding the Fourth Proportional to 202,628.70, 279,609.22 and 116,564.78

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Solution

The fourth proportional to 202,628.70, 279,609.22 and 116,564.78 is: 160,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,628.70 : 279,609.22 = 116,564.78 : x
  2. Step 2: Convert to fraction form
    202,628.70/279,609.22 = 116,564.78/x
  3. Step 3: Cross multiply
    202,628.70x = 279,609.22 × 116,564.78
  4. Step 4: Simplify right side
    202,628.70x = 32,592,587,601.44
  5. Step 5: Solve for x
    x = 32,592,587,601.44/202,628.70
  6. Step 6: Final answer
    x = 160,848.82

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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.