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Finding the Fourth Proportional to 113,714.77, 156,976.82 and 73,448.17

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Solution

The fourth proportional to 113,714.77, 156,976.82 and 73,448.17 is: 101,391.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,714.77 : 156,976.82 = 73,448.17 : x
  2. Step 2: Convert to fraction form
    113,714.77/156,976.82 = 73,448.17/x
  3. Step 3: Cross multiply
    113,714.77x = 156,976.82 × 73,448.17
  4. Step 4: Simplify right side
    113,714.77x = 11,529,660,161.42
  5. Step 5: Solve for x
    x = 11,529,660,161.42/113,714.77
  6. Step 6: Final answer
    x = 101,391.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.