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Finding the Fourth Proportional to 169,262.46, 233,576.46 and 97,640.64

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Solution

The fourth proportional to 169,262.46, 233,576.46 and 97,640.64 is: 134,740.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,262.46 : 233,576.46 = 97,640.64 : x
  2. Step 2: Convert to fraction form
    169,262.46/233,576.46 = 97,640.64/x
  3. Step 3: Cross multiply
    169,262.46x = 233,576.46 × 97,640.64
  4. Step 4: Simplify right side
    169,262.46x = 22,806,555,043.33
  5. Step 5: Solve for x
    x = 22,806,555,043.33/169,262.46
  6. Step 6: Final answer
    x = 134,740.78

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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.