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Finding the Fourth Proportional to 217,183.40, 299,710.16 and 121,691.96

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Solution

The fourth proportional to 217,183.40, 299,710.16 and 121,691.96 is: 167,933.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,183.40 : 299,710.16 = 121,691.96 : x
  2. Step 2: Convert to fraction form
    217,183.40/299,710.16 = 121,691.96/x
  3. Step 3: Cross multiply
    217,183.40x = 299,710.16 × 121,691.96
  4. Step 4: Simplify right side
    217,183.40x = 36,472,316,802.31
  5. Step 5: Solve for x
    x = 36,472,316,802.31/217,183.40
  6. Step 6: Final answer
    x = 167,933.26

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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.