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Finding the Fourth Proportional to 116,180.79, 160,201.41 and 80,308.53

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Solution

The fourth proportional to 116,180.79, 160,201.41 and 80,308.53 is: 110,737.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,180.79 : 160,201.41 = 80,308.53 : x
  2. Step 2: Convert to fraction form
    116,180.79/160,201.41 = 80,308.53/x
  3. Step 3: Cross multiply
    116,180.79x = 160,201.41 × 80,308.53
  4. Step 4: Simplify right side
    116,180.79x = 12,865,539,741.03
  5. Step 5: Solve for x
    x = 12,865,539,741.03/116,180.79
  6. Step 6: Final answer
    x = 110,737.24

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Why These Related Problems?

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