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Finding the Fourth Proportional to 135,316.50, 202,975.59 and 35,475.80

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Solution

The fourth proportional to 135,316.50, 202,975.59 and 35,475.80 is: 53,213.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,316.50 : 202,975.59 = 35,475.80 : x
  2. Step 2: Convert to fraction form
    135,316.50/202,975.59 = 35,475.80/x
  3. Step 3: Cross multiply
    135,316.50x = 202,975.59 × 35,475.80
  4. Step 4: Simplify right side
    135,316.50x = 7,200,720,420.84
  5. Step 5: Solve for x
    x = 7,200,720,420.84/135,316.50
  6. Step 6: Final answer
    x = 53,213.91

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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.