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Finding the Fourth Proportional to 159,709.96, 220,359.18 and 117,194.68

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Solution

The fourth proportional to 159,709.96, 220,359.18 and 117,194.68 is: 161,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,709.96 : 220,359.18 = 117,194.68 : x
  2. Step 2: Convert to fraction form
    159,709.96/220,359.18 = 117,194.68/x
  3. Step 3: Cross multiply
    159,709.96x = 220,359.18 × 117,194.68
  4. Step 4: Simplify right side
    159,709.96x = 25,824,923,585.16
  5. Step 5: Solve for x
    x = 25,824,923,585.16/159,709.96
  6. Step 6: Final answer
    x = 161,698.89

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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.