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Finding the Fourth Proportional to 232,782.08, 321,223.68 and 137,284.48

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Solution

The fourth proportional to 232,782.08, 321,223.68 and 137,284.48 is: 189,443.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,782.08 : 321,223.68 = 137,284.48 : x
  2. Step 2: Convert to fraction form
    232,782.08/321,223.68 = 137,284.48/x
  3. Step 3: Cross multiply
    232,782.08x = 321,223.68 × 137,284.48
  4. Step 4: Simplify right side
    232,782.08x = 44,099,025,872.49
  5. Step 5: Solve for x
    x = 44,099,025,872.49/232,782.08
  6. Step 6: Final answer
    x = 189,443.39

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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.