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Finding the Fourth Proportional to 165,462.71, 247,975.95 and 65,568.41

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Solution

The fourth proportional to 165,462.71, 247,975.95 and 65,568.41 is: 98,266.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,462.71 : 247,975.95 = 65,568.41 : x
  2. Step 2: Convert to fraction form
    165,462.71/247,975.95 = 65,568.41/x
  3. Step 3: Cross multiply
    165,462.71x = 247,975.95 × 65,568.41
  4. Step 4: Simplify right side
    165,462.71x = 16,259,388,759.74
  5. Step 5: Solve for x
    x = 16,259,388,759.74/165,462.71
  6. Step 6: Final answer
    x = 98,266.18

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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.