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Finding the Fourth Proportional to 240,284, 331,578.96 and 132,847.76

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Solution

The fourth proportional to 240,284, 331,578.96 and 132,847.76 is: 183,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,284 : 331,578.96 = 132,847.76 : x
  2. Step 2: Convert to fraction form
    240,284/331,578.96 = 132,847.76/x
  3. Step 3: Cross multiply
    240,284x = 331,578.96 × 132,847.76
  4. Step 4: Simplify right side
    240,284x = 44,049,522,099.13
  5. Step 5: Solve for x
    x = 44,049,522,099.13/240,284
  6. Step 6: Final answer
    x = 183,322.74

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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.