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Finding the Fourth Proportional to 216,662.82, 298,996.74 and 121,169.74

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Solution

The fourth proportional to 216,662.82, 298,996.74 and 121,169.74 is: 167,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,662.82 : 298,996.74 = 121,169.74 : x
  2. Step 2: Convert to fraction form
    216,662.82/298,996.74 = 121,169.74/x
  3. Step 3: Cross multiply
    216,662.82x = 298,996.74 × 121,169.74
  4. Step 4: Simplify right side
    216,662.82x = 36,229,357,246.65
  5. Step 5: Solve for x
    x = 36,229,357,246.65/216,662.82
  6. Step 6: Final answer
    x = 167,215.39

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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.