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Finding the Fourth Proportional to 232,262.80, 348,310.52 and 80,418.64

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Solution

The fourth proportional to 232,262.80, 348,310.52 and 80,418.64 is: 120,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,262.80 : 348,310.52 = 80,418.64 : x
  2. Step 2: Convert to fraction form
    232,262.80/348,310.52 = 80,418.64/x
  3. Step 3: Cross multiply
    232,262.80x = 348,310.52 × 80,418.64
  4. Step 4: Simplify right side
    232,262.80x = 28,010,658,316.09
  5. Step 5: Solve for x
    x = 28,010,658,316.09/232,262.80
  6. Step 6: Final answer
    x = 120,598.99

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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.