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Finding the Fourth Proportional to 135,114.75, 202,672.13 and 36,618.75

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Solution

The fourth proportional to 135,114.75, 202,672.13 and 36,618.75 is: 54,928.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,114.75 : 202,672.13 = 36,618.75 : x
  2. Step 2: Convert to fraction form
    135,114.75/202,672.13 = 36,618.75/x
  3. Step 3: Cross multiply
    135,114.75x = 202,672.13 × 36,618.75
  4. Step 4: Simplify right side
    135,114.75x = 7,421,599,877.34
  5. Step 5: Solve for x
    x = 7,421,599,877.34/135,114.75
  6. Step 6: Final answer
    x = 54,928.13

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Why These Related Problems?

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