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Finding the Fourth Proportional to 211,950.82, 292,491.30 and 121,306.42

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Solution

The fourth proportional to 211,950.82, 292,491.30 and 121,306.42 is: 167,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,950.82 : 292,491.30 = 121,306.42 : x
  2. Step 2: Convert to fraction form
    211,950.82/292,491.30 = 121,306.42/x
  3. Step 3: Cross multiply
    211,950.82x = 292,491.30 × 121,306.42
  4. Step 4: Simplify right side
    211,950.82x = 35,481,072,484.15
  5. Step 5: Solve for x
    x = 35,481,072,484.15/211,950.82
  6. Step 6: Final answer
    x = 167,402.38

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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.