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Finding the Fourth Proportional to 116,076.72, 160,220.10 and 75,796.74

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Solution

The fourth proportional to 116,076.72, 160,220.10 and 75,796.74 is: 104,621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076.72 : 160,220.10 = 75,796.74 : x
  2. Step 2: Convert to fraction form
    116,076.72/160,220.10 = 75,796.74/x
  3. Step 3: Cross multiply
    116,076.72x = 160,220.10 × 75,796.74
  4. Step 4: Simplify right side
    116,076.72x = 12,144,161,262.47
  5. Step 5: Solve for x
    x = 12,144,161,262.47/116,076.72
  6. Step 6: Final answer
    x = 104,621.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.