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Finding the Fourth Proportional to 135,257.26, 202,904.32 and 56,353

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Solution

The fourth proportional to 135,257.26, 202,904.32 and 56,353 is: 84,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,257.26 : 202,904.32 = 56,353 : x
  2. Step 2: Convert to fraction form
    135,257.26/202,904.32 = 56,353/x
  3. Step 3: Cross multiply
    135,257.26x = 202,904.32 × 56,353
  4. Step 4: Simplify right side
    135,257.26x = 11,434,267,144.96
  5. Step 5: Solve for x
    x = 11,434,267,144.96/135,257.26
  6. Step 6: Final answer
    x = 84,537.18

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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.