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Finding the Fourth Proportional to 135,157, 202,827.66 and 47,605

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Solution

The fourth proportional to 135,157, 202,827.66 and 47,605 is: 71,439.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,157 : 202,827.66 = 47,605 : x
  2. Step 2: Convert to fraction form
    135,157/202,827.66 = 47,605/x
  3. Step 3: Cross multiply
    135,157x = 202,827.66 × 47,605
  4. Step 4: Simplify right side
    135,157x = 9,655,610,754.30
  5. Step 5: Solve for x
    x = 9,655,610,754.30/135,157
  6. Step 6: Final answer
    x = 71,439.96

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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.