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Finding the Fourth Proportional to 180,466.29, 270,713.41 and 60,523.92

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Solution

The fourth proportional to 180,466.29, 270,713.41 and 60,523.92 is: 90,790.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,466.29 : 270,713.41 = 60,523.92 : x
  2. Step 2: Convert to fraction form
    180,466.29/270,713.41 = 60,523.92/x
  3. Step 3: Cross multiply
    180,466.29x = 270,713.41 × 60,523.92
  4. Step 4: Simplify right side
    180,466.29x = 16,384,636,618.46
  5. Step 5: Solve for x
    x = 16,384,636,618.46/180,466.29
  6. Step 6: Final answer
    x = 90,790.57

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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.