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Finding the Fourth Proportional to 135,156, 202,826.16 and 47,604

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Solution

The fourth proportional to 135,156, 202,826.16 and 47,604 is: 71,438.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,156 : 202,826.16 = 47,604 : x
  2. Step 2: Convert to fraction form
    135,156/202,826.16 = 47,604/x
  3. Step 3: Cross multiply
    135,156x = 202,826.16 × 47,604
  4. Step 4: Simplify right side
    135,156x = 9,655,336,520.64
  5. Step 5: Solve for x
    x = 9,655,336,520.64/135,156
  6. Step 6: Final answer
    x = 71,438.46

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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.