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Finding the Fourth Proportional to 114,896.52, 172,344.52 and 54,742.40

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Solution

The fourth proportional to 114,896.52, 172,344.52 and 54,742.40 is: 82,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,896.52 : 172,344.52 = 54,742.40 : x
  2. Step 2: Convert to fraction form
    114,896.52/172,344.52 = 54,742.40/x
  3. Step 3: Cross multiply
    114,896.52x = 172,344.52 × 54,742.40
  4. Step 4: Simplify right side
    114,896.52x = 9,434,552,651.65
  5. Step 5: Solve for x
    x = 9,434,552,651.65/114,896.52
  6. Step 6: Final answer
    x = 82,113.48

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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.