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Finding the Fourth Proportional to 275,773.16, 413,683.58 and 76,093.55

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Solution

The fourth proportional to 275,773.16, 413,683.58 and 76,093.55 is: 114,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,773.16 : 413,683.58 = 76,093.55 : x
  2. Step 2: Convert to fraction form
    275,773.16/413,683.58 = 76,093.55/x
  3. Step 3: Cross multiply
    275,773.16x = 413,683.58 × 76,093.55
  4. Step 4: Simplify right side
    275,773.16x = 31,478,650,954.47
  5. Step 5: Solve for x
    x = 31,478,650,954.47/275,773.16
  6. Step 6: Final answer
    x = 114,146.90

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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.