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Finding the Fourth Proportional to 169,123.38, 232,859.16 and 143,576.82

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Solution

The fourth proportional to 169,123.38, 232,859.16 and 143,576.82 is: 197,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,123.38 : 232,859.16 = 143,576.82 : x
  2. Step 2: Convert to fraction form
    169,123.38/232,859.16 = 143,576.82/x
  3. Step 3: Cross multiply
    169,123.38x = 232,859.16 × 143,576.82
  4. Step 4: Simplify right side
    169,123.38x = 33,433,177,700.67
  5. Step 5: Solve for x
    x = 33,433,177,700.67/169,123.38
  6. Step 6: Final answer
    x = 197,685.13

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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.