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Finding the Fourth Proportional to 180,563.74, 270,834.81 and 62,232.46

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Solution

The fourth proportional to 180,563.74, 270,834.81 and 62,232.46 is: 93,344.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,563.74 : 270,834.81 = 62,232.46 : x
  2. Step 2: Convert to fraction form
    180,563.74/270,834.81 = 62,232.46/x
  3. Step 3: Cross multiply
    180,563.74x = 270,834.81 × 62,232.46
  4. Step 4: Simplify right side
    180,563.74x = 16,854,716,479.93
  5. Step 5: Solve for x
    x = 16,854,716,479.93/180,563.74
  6. Step 6: Final answer
    x = 93,344.97

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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.