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Finding the Fourth Proportional to 135,257.50, 202,942.12 and 59,316.74

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Solution

The fourth proportional to 135,257.50, 202,942.12 and 59,316.74 is: 88,999.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,257.50 : 202,942.12 = 59,316.74 : x
  2. Step 2: Convert to fraction form
    135,257.50/202,942.12 = 59,316.74/x
  3. Step 3: Cross multiply
    135,257.50x = 202,942.12 × 59,316.74
  4. Step 4: Simplify right side
    135,257.50x = 12,037,864,967.09
  5. Step 5: Solve for x
    x = 12,037,864,967.09/135,257.50
  6. Step 6: Final answer
    x = 88,999.61

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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.