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Finding the Fourth Proportional to 159,491.82, 239,284.52 and 47,175

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Solution

The fourth proportional to 159,491.82, 239,284.52 and 47,175 is: 70,776.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,491.82 : 239,284.52 = 47,175 : x
  2. Step 2: Convert to fraction form
    159,491.82/239,284.52 = 47,175/x
  3. Step 3: Cross multiply
    159,491.82x = 239,284.52 × 47,175
  4. Step 4: Simplify right side
    159,491.82x = 11,288,246,995.13
  5. Step 5: Solve for x
    x = 11,288,246,995.13/159,491.82
  6. Step 6: Final answer
    x = 70,776.34

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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.