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Finding the Fourth Proportional to 225,714.81, 338,600.47 and 83,536.12

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Solution

The fourth proportional to 225,714.81, 338,600.47 and 83,536.12 is: 125,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,714.81 : 338,600.47 = 83,536.12 : x
  2. Step 2: Convert to fraction form
    225,714.81/338,600.47 = 83,536.12/x
  3. Step 3: Cross multiply
    225,714.81x = 338,600.47 × 83,536.12
  4. Step 4: Simplify right side
    225,714.81x = 28,285,369,493.98
  5. Step 5: Solve for x
    x = 28,285,369,493.98/225,714.81
  6. Step 6: Final answer
    x = 125,314.64

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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.