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Finding the Fourth Proportional to 275,513.76, 413,270.64 and 88,656.48

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Solution

The fourth proportional to 275,513.76, 413,270.64 and 88,656.48 is: 132,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,513.76 : 413,270.64 = 88,656.48 : x
  2. Step 2: Convert to fraction form
    275,513.76/413,270.64 = 88,656.48/x
  3. Step 3: Cross multiply
    275,513.76x = 413,270.64 × 88,656.48
  4. Step 4: Simplify right side
    275,513.76x = 36,639,120,229.75
  5. Step 5: Solve for x
    x = 36,639,120,229.75/275,513.76
  6. Step 6: Final answer
    x = 132,984.72

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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.