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Finding the Fourth Proportional to 133,922.54, 200,878.04 and 40,425.50

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Solution

The fourth proportional to 133,922.54, 200,878.04 and 40,425.50 is: 60,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,922.54 : 200,878.04 = 40,425.50 : x
  2. Step 2: Convert to fraction form
    133,922.54/200,878.04 = 40,425.50/x
  3. Step 3: Cross multiply
    133,922.54x = 200,878.04 × 40,425.50
  4. Step 4: Simplify right side
    133,922.54x = 8,120,595,206.02
  5. Step 5: Solve for x
    x = 8,120,595,206.02/133,922.54
  6. Step 6: Final answer
    x = 60,636.51

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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.