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Finding the Fourth Proportional to 232,069.76, 348,078.72 and 82,297.52

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Solution

The fourth proportional to 232,069.76, 348,078.72 and 82,297.52 is: 123,437.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,069.76 : 348,078.72 = 82,297.52 : x
  2. Step 2: Convert to fraction form
    232,069.76/348,078.72 = 82,297.52/x
  3. Step 3: Cross multiply
    232,069.76x = 348,078.72 × 82,297.52
  4. Step 4: Simplify right side
    232,069.76x = 28,646,015,420.77
  5. Step 5: Solve for x
    x = 28,646,015,420.77/232,069.76
  6. Step 6: Final answer
    x = 123,437.09

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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.