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Finding the Fourth Proportional to 217,108.31, 325,637.82 and 83,952.81

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Solution

The fourth proportional to 217,108.31, 325,637.82 and 83,952.81 is: 125,919.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,108.31 : 325,637.82 = 83,952.81 : x
  2. Step 2: Convert to fraction form
    217,108.31/325,637.82 = 83,952.81/x
  3. Step 3: Cross multiply
    217,108.31x = 325,637.82 × 83,952.81
  4. Step 4: Simplify right side
    217,108.31x = 27,338,210,031.27
  5. Step 5: Solve for x
    x = 27,338,210,031.27/217,108.31
  6. Step 6: Final answer
    x = 125,919.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.