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Finding the Fourth Proportional to 334,832.64, 502,238.40 and 82,113.90

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Solution

The fourth proportional to 334,832.64, 502,238.40 and 82,113.90 is: 123,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,832.64 : 502,238.40 = 82,113.90 : x
  2. Step 2: Convert to fraction form
    334,832.64/502,238.40 = 82,113.90/x
  3. Step 3: Cross multiply
    334,832.64x = 502,238.40 × 82,113.90
  4. Step 4: Simplify right side
    334,832.64x = 41,240,753,753.76
  5. Step 5: Solve for x
    x = 41,240,753,753.76/334,832.64
  6. Step 6: Final answer
    x = 123,168.26

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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.