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Finding the Fourth Proportional to 225,622.84, 338,435.04 and 57,143.08

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Solution

The fourth proportional to 225,622.84, 338,435.04 and 57,143.08 is: 85,714.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,622.84 : 338,435.04 = 57,143.08 : x
  2. Step 2: Convert to fraction form
    225,622.84/338,435.04 = 57,143.08/x
  3. Step 3: Cross multiply
    225,622.84x = 338,435.04 × 57,143.08
  4. Step 4: Simplify right side
    225,622.84x = 19,339,220,565.52
  5. Step 5: Solve for x
    x = 19,339,220,565.52/225,622.84
  6. Step 6: Final answer
    x = 85,714.82

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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.