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Finding the Fourth Proportional to 131,797.84, 197,613.70 and 111,814.31

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Solution

The fourth proportional to 131,797.84, 197,613.70 and 111,814.31 is: 167,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,797.84 : 197,613.70 = 111,814.31 : x
  2. Step 2: Convert to fraction form
    131,797.84/197,613.70 = 111,814.31/x
  3. Step 3: Cross multiply
    131,797.84x = 197,613.70 × 111,814.31
  4. Step 4: Simplify right side
    131,797.84x = 22,096,039,726.55
  5. Step 5: Solve for x
    x = 22,096,039,726.55/131,797.84
  6. Step 6: Final answer
    x = 167,651.00

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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.