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Finding the Fourth Proportional to 114,838.52, 172,257.40 and 29,449.28

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Solution

The fourth proportional to 114,838.52, 172,257.40 and 29,449.28 is: 44,173.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,838.52 : 172,257.40 = 29,449.28 : x
  2. Step 2: Convert to fraction form
    114,838.52/172,257.40 = 29,449.28/x
  3. Step 3: Cross multiply
    114,838.52x = 172,257.40 × 29,449.28
  4. Step 4: Simplify right side
    114,838.52x = 5,072,856,990.12
  5. Step 5: Solve for x
    x = 5,072,856,990.12/114,838.52
  6. Step 6: Final answer
    x = 44,173.83

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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.