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Finding the Fourth Proportional to 217,008.25, 299,483.72 and 121,514.11

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Solution

The fourth proportional to 217,008.25, 299,483.72 and 121,514.11 is: 167,696.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,008.25 : 299,483.72 = 121,514.11 : x
  2. Step 2: Convert to fraction form
    217,008.25/299,483.72 = 121,514.11/x
  3. Step 3: Cross multiply
    217,008.25x = 299,483.72 × 121,514.11
  4. Step 4: Simplify right side
    217,008.25x = 36,391,497,695.29
  5. Step 5: Solve for x
    x = 36,391,497,695.29/217,008.25
  6. Step 6: Final answer
    x = 167,696.38

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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.