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Finding the Fourth Proportional to 176,166.16, 264,343.32 and 82,672.72

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Solution

The fourth proportional to 176,166.16, 264,343.32 and 82,672.72 is: 124,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,166.16 : 264,343.32 = 82,672.72 : x
  2. Step 2: Convert to fraction form
    176,166.16/264,343.32 = 82,672.72/x
  3. Step 3: Cross multiply
    176,166.16x = 264,343.32 × 82,672.72
  4. Step 4: Simplify right side
    176,166.16x = 21,853,981,278.23
  5. Step 5: Solve for x
    x = 21,853,981,278.23/176,166.16
  6. Step 6: Final answer
    x = 124,053.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.