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Finding the Fourth Proportional to 235,701.29, 325,648.31 and 164,399.61

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Solution

The fourth proportional to 235,701.29, 325,648.31 and 164,399.61 is: 227,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,701.29 : 325,648.31 = 164,399.61 : x
  2. Step 2: Convert to fraction form
    235,701.29/325,648.31 = 164,399.61/x
  3. Step 3: Cross multiply
    235,701.29x = 325,648.31 × 164,399.61
  4. Step 4: Simplify right side
    235,701.29x = 53,536,454,339.16
  5. Step 5: Solve for x
    x = 53,536,454,339.16/235,701.29
  6. Step 6: Final answer
    x = 227,136.88

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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.