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Finding the Fourth Proportional to 188,889.08, 283,727.10 and 159,364.76

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Solution

The fourth proportional to 188,889.08, 283,727.10 and 159,364.76 is: 239,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,889.08 : 283,727.10 = 159,364.76 : x
  2. Step 2: Convert to fraction form
    188,889.08/283,727.10 = 159,364.76/x
  3. Step 3: Cross multiply
    188,889.08x = 283,727.10 × 159,364.76
  4. Step 4: Simplify right side
    188,889.08x = 45,216,101,197.00
  5. Step 5: Solve for x
    x = 45,216,101,197.00/188,889.08
  6. Step 6: Final answer
    x = 239,379.12

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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.