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Finding the Fourth Proportional to 131,465.80, 197,198.70 and 76,169.80

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Solution

The fourth proportional to 131,465.80, 197,198.70 and 76,169.80 is: 114,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465.80 : 197,198.70 = 76,169.80 : x
  2. Step 2: Convert to fraction form
    131,465.80/197,198.70 = 76,169.80/x
  3. Step 3: Cross multiply
    131,465.80x = 197,198.70 × 76,169.80
  4. Step 4: Simplify right side
    131,465.80x = 15,020,585,539.26
  5. Step 5: Solve for x
    x = 15,020,585,539.26/131,465.80
  6. Step 6: Final answer
    x = 114,254.70

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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.