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Finding the Fourth Proportional to 211,892.78, 292,462.47 and 121,301.09

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Solution

The fourth proportional to 211,892.78, 292,462.47 and 121,301.09 is: 167,424.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,892.78 : 292,462.47 = 121,301.09 : x
  2. Step 2: Convert to fraction form
    211,892.78/292,462.47 = 121,301.09/x
  3. Step 3: Cross multiply
    211,892.78x = 292,462.47 × 121,301.09
  4. Step 4: Simplify right side
    211,892.78x = 35,476,017,429.50
  5. Step 5: Solve for x
    x = 35,476,017,429.50/211,892.78
  6. Step 6: Final answer
    x = 167,424.38

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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.