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Finding the Fourth Proportional to 117,974.80, 176,960.04 and 29,228.50

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Solution

The fourth proportional to 117,974.80, 176,960.04 and 29,228.50 is: 43,842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,974.80 : 176,960.04 = 29,228.50 : x
  2. Step 2: Convert to fraction form
    117,974.80/176,960.04 = 29,228.50/x
  3. Step 3: Cross multiply
    117,974.80x = 176,960.04 × 29,228.50
  4. Step 4: Simplify right side
    117,974.80x = 5,172,276,529.14
  5. Step 5: Solve for x
    x = 5,172,276,529.14/117,974.80
  6. Step 6: Final answer
    x = 43,842.21

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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.