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Finding the Fourth Proportional to 225,886.05, 338,827.14 and 57,406.86

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Solution

The fourth proportional to 225,886.05, 338,827.14 and 57,406.86 is: 86,109.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,886.05 : 338,827.14 = 57,406.86 : x
  2. Step 2: Convert to fraction form
    225,886.05/338,827.14 = 57,406.86/x
  3. Step 3: Cross multiply
    225,886.05x = 338,827.14 × 57,406.86
  4. Step 4: Simplify right side
    225,886.05x = 19,451,002,190.18
  5. Step 5: Solve for x
    x = 19,451,002,190.18/225,886.05
  6. Step 6: Final answer
    x = 86,109.80

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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.