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Finding the Fourth Proportional to 348,195.56, 522,339.82 and 137,784.30

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Solution

The fourth proportional to 348,195.56, 522,339.82 and 137,784.30 is: 206,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,195.56 : 522,339.82 = 137,784.30 : x
  2. Step 2: Convert to fraction form
    348,195.56/522,339.82 = 137,784.30/x
  3. Step 3: Cross multiply
    348,195.56x = 522,339.82 × 137,784.30
  4. Step 4: Simplify right side
    348,195.56x = 71,970,226,460.83
  5. Step 5: Solve for x
    x = 71,970,226,460.83/348,195.56
  6. Step 6: Final answer
    x = 206,694.84

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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.