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Finding the Fourth Proportional to 135,957.46, 203,941.32 and 51,701.92

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Solution

The fourth proportional to 135,957.46, 203,941.32 and 51,701.92 is: 77,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,957.46 : 203,941.32 = 51,701.92 : x
  2. Step 2: Convert to fraction form
    135,957.46/203,941.32 = 51,701.92/x
  3. Step 3: Cross multiply
    135,957.46x = 203,941.32 × 51,701.92
  4. Step 4: Simplify right side
    135,957.46x = 10,544,157,042.97
  5. Step 5: Solve for x
    x = 10,544,157,042.97/135,957.46
  6. Step 6: Final answer
    x = 77,554.83

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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.