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Finding the Fourth Proportional to 272,073.46, 407,694.39 and 114,215.26

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Solution

The fourth proportional to 272,073.46, 407,694.39 and 114,215.26 is: 171,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,073.46 : 407,694.39 = 114,215.26 : x
  2. Step 2: Convert to fraction form
    272,073.46/407,694.39 = 114,215.26/x
  3. Step 3: Cross multiply
    272,073.46x = 407,694.39 × 114,215.26
  4. Step 4: Simplify right side
    272,073.46x = 46,564,920,754.39
  5. Step 5: Solve for x
    x = 46,564,920,754.39/272,073.46
  6. Step 6: Final answer
    x = 171,148.34

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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.