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Finding the Fourth Proportional to 114,621.92, 171,709.21 and 75,059.09

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Solution

The fourth proportional to 114,621.92, 171,709.21 and 75,059.09 is: 112,442.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,621.92 : 171,709.21 = 75,059.09 : x
  2. Step 2: Convert to fraction form
    114,621.92/171,709.21 = 75,059.09/x
  3. Step 3: Cross multiply
    114,621.92x = 171,709.21 × 75,059.09
  4. Step 4: Simplify right side
    114,621.92x = 12,888,336,443.47
  5. Step 5: Solve for x
    x = 12,888,336,443.47/114,621.92
  6. Step 6: Final answer
    x = 112,442.17

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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.