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Finding the Fourth Proportional to 137,191.40, 206,132.70 and 87,295.40

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Solution

The fourth proportional to 137,191.40, 206,132.70 and 87,295.40 is: 131,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,191.40 : 206,132.70 = 87,295.40 : x
  2. Step 2: Convert to fraction form
    137,191.40/206,132.70 = 87,295.40/x
  3. Step 3: Cross multiply
    137,191.40x = 206,132.70 × 87,295.40
  4. Step 4: Simplify right side
    137,191.40x = 17,994,436,499.58
  5. Step 5: Solve for x
    x = 17,994,436,499.58/137,191.40
  6. Step 6: Final answer
    x = 131,163.01

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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.