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Finding the Fourth Proportional to 202,122.74, 278,942.13 and 116,108.64

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Solution

The fourth proportional to 202,122.74, 278,942.13 and 116,108.64 is: 160,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,122.74 : 278,942.13 = 116,108.64 : x
  2. Step 2: Convert to fraction form
    202,122.74/278,942.13 = 116,108.64/x
  3. Step 3: Cross multiply
    202,122.74x = 278,942.13 × 116,108.64
  4. Step 4: Simplify right side
    202,122.74x = 32,387,591,353.00
  5. Step 5: Solve for x
    x = 32,387,591,353.00/202,122.74
  6. Step 6: Final answer
    x = 160,237.24

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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.