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Finding the Fourth Proportional to 211,676.73, 292,063.62 and 119,797.20

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Solution

The fourth proportional to 211,676.73, 292,063.62 and 119,797.20 is: 165,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,676.73 : 292,063.62 = 119,797.20 : x
  2. Step 2: Convert to fraction form
    211,676.73/292,063.62 = 119,797.20/x
  3. Step 3: Cross multiply
    211,676.73x = 292,063.62 × 119,797.20
  4. Step 4: Simplify right side
    211,676.73x = 34,988,403,897.86
  5. Step 5: Solve for x
    x = 34,988,403,897.86/211,676.73
  6. Step 6: Final answer
    x = 165,291.69

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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.