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Finding the Fourth Proportional to 211,466.63, 291,776.69 and 120,793.61

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Solution

The fourth proportional to 211,466.63, 291,776.69 and 120,793.61 is: 166,668.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,466.63 : 291,776.69 = 120,793.61 : x
  2. Step 2: Convert to fraction form
    211,466.63/291,776.69 = 120,793.61/x
  3. Step 3: Cross multiply
    211,466.63x = 291,776.69 × 120,793.61
  4. Step 4: Simplify right side
    211,466.63x = 35,244,760,730.38
  5. Step 5: Solve for x
    x = 35,244,760,730.38/211,466.63
  6. Step 6: Final answer
    x = 166,668.19

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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.