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Finding the Fourth Proportional to 137,114.70, 205,380.45 and 113,786.70

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Solution

The fourth proportional to 137,114.70, 205,380.45 and 113,786.70 is: 170,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.70 : 205,380.45 = 113,786.70 : x
  2. Step 2: Convert to fraction form
    137,114.70/205,380.45 = 113,786.70/x
  3. Step 3: Cross multiply
    137,114.70x = 205,380.45 × 113,786.70
  4. Step 4: Simplify right side
    137,114.70x = 23,369,563,650.02
  5. Step 5: Solve for x
    x = 23,369,563,650.02/137,114.70
  6. Step 6: Final answer
    x = 170,438.06

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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.