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Finding the Fourth Proportional to 135,152.50, 202,531.92 and 64,949.80

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Solution

The fourth proportional to 135,152.50, 202,531.92 and 64,949.80 is: 97,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,152.50 : 202,531.92 = 64,949.80 : x
  2. Step 2: Convert to fraction form
    135,152.50/202,531.92 = 64,949.80/x
  3. Step 3: Cross multiply
    135,152.50x = 202,531.92 × 64,949.80
  4. Step 4: Simplify right side
    135,152.50x = 13,154,407,372.87
  5. Step 5: Solve for x
    x = 13,154,407,372.87/135,152.50
  6. Step 6: Final answer
    x = 97,330.11

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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.