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Finding the Fourth Proportional to 275,731.60, 413,597.40 and 76,082.80

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Solution

The fourth proportional to 275,731.60, 413,597.40 and 76,082.80 is: 114,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,731.60 : 413,597.40 = 76,082.80 : x
  2. Step 2: Convert to fraction form
    275,731.60/413,597.40 = 76,082.80/x
  3. Step 3: Cross multiply
    275,731.60x = 413,597.40 × 76,082.80
  4. Step 4: Simplify right side
    275,731.60x = 31,467,648,264.72
  5. Step 5: Solve for x
    x = 31,467,648,264.72/275,731.60
  6. Step 6: Final answer
    x = 114,124.20

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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.