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Finding the Fourth Proportional to 159,662.32, 239,495.68 and 76,536.88

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Solution

The fourth proportional to 159,662.32, 239,495.68 and 76,536.88 is: 114,806.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,662.32 : 239,495.68 = 76,536.88 : x
  2. Step 2: Convert to fraction form
    159,662.32/239,495.68 = 76,536.88/x
  3. Step 3: Cross multiply
    159,662.32x = 239,495.68 × 76,536.88
  4. Step 4: Simplify right side
    159,662.32x = 18,330,252,120.68
  5. Step 5: Solve for x
    x = 18,330,252,120.68/159,662.32
  6. Step 6: Final answer
    x = 114,806.37

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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.