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Finding the Fourth Proportional to 220,938.38, 304,894.86 and 120,336.38

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Solution

The fourth proportional to 220,938.38, 304,894.86 and 120,336.38 is: 166,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,938.38 : 304,894.86 = 120,336.38 : x
  2. Step 2: Convert to fraction form
    220,938.38/304,894.86 = 120,336.38/x
  3. Step 3: Cross multiply
    220,938.38x = 304,894.86 × 120,336.38
  4. Step 4: Simplify right side
    220,938.38x = 36,689,943,733.01
  5. Step 5: Solve for x
    x = 36,689,943,733.01/220,938.38
  6. Step 6: Final answer
    x = 166,064.15

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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.