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Finding the Fourth Proportional to 116,086.72, 160,153.62 and 75,787.60

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Solution

The fourth proportional to 116,086.72, 160,153.62 and 75,787.60 is: 104,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,086.72 : 160,153.62 = 75,787.60 : x
  2. Step 2: Convert to fraction form
    116,086.72/160,153.62 = 75,787.60/x
  3. Step 3: Cross multiply
    116,086.72x = 160,153.62 × 75,787.60
  4. Step 4: Simplify right side
    116,086.72x = 12,137,658,491.11
  5. Step 5: Solve for x
    x = 12,137,658,491.11/116,086.72
  6. Step 6: Final answer
    x = 104,556.82

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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.