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Finding the Fourth Proportional to 166,211.39, 230,920.19 and 164,218.47

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Solution

The fourth proportional to 166,211.39, 230,920.19 and 164,218.47 is: 228,151.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,211.39 : 230,920.19 = 164,218.47 : x
  2. Step 2: Convert to fraction form
    166,211.39/230,920.19 = 164,218.47/x
  3. Step 3: Cross multiply
    166,211.39x = 230,920.19 × 164,218.47
  4. Step 4: Simplify right side
    166,211.39x = 37,921,359,472.82
  5. Step 5: Solve for x
    x = 37,921,359,472.82/166,211.39
  6. Step 6: Final answer
    x = 228,151.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.