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Finding the Fourth Proportional to 232,122.58, 348,236.35 and 82,363.03

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Solution

The fourth proportional to 232,122.58, 348,236.35 and 82,363.03 is: 123,563.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,122.58 : 348,236.35 = 82,363.03 : x
  2. Step 2: Convert to fraction form
    232,122.58/348,236.35 = 82,363.03/x
  3. Step 3: Cross multiply
    232,122.58x = 348,236.35 × 82,363.03
  4. Step 4: Simplify right side
    232,122.58x = 28,681,799,865.64
  5. Step 5: Solve for x
    x = 28,681,799,865.64/232,122.58
  6. Step 6: Final answer
    x = 123,563.16

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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.