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Finding the Fourth Proportional to 334,826.64, 502,229.43 and 82,107.90

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Solution

The fourth proportional to 334,826.64, 502,229.43 and 82,107.90 is: 123,159.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,826.64 : 502,229.43 = 82,107.90 : x
  2. Step 2: Convert to fraction form
    334,826.64/502,229.43 = 82,107.90/x
  3. Step 3: Cross multiply
    334,826.64x = 502,229.43 × 82,107.90
  4. Step 4: Simplify right side
    334,826.64x = 41,237,003,815.50
  5. Step 5: Solve for x
    x = 41,237,003,815.50/334,826.64
  6. Step 6: Final answer
    x = 123,159.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.