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Finding the Fourth Proportional to 225,891.06, 338,834.64 and 57,411.86

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Solution

The fourth proportional to 225,891.06, 338,834.64 and 57,411.86 is: 86,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,891.06 : 338,834.64 = 57,411.86 : x
  2. Step 2: Convert to fraction form
    225,891.06/338,834.64 = 57,411.86/x
  3. Step 3: Cross multiply
    225,891.06x = 338,834.64 × 57,411.86
  4. Step 4: Simplify right side
    225,891.06x = 19,453,126,914.83
  5. Step 5: Solve for x
    x = 19,453,126,914.83/225,891.06
  6. Step 6: Final answer
    x = 86,117.29

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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.