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Finding the Fourth Proportional to 133,815.75, 200,704.10 and 39,020.47

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Solution

The fourth proportional to 133,815.75, 200,704.10 and 39,020.47 is: 58,525.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,815.75 : 200,704.10 = 39,020.47 : x
  2. Step 2: Convert to fraction form
    133,815.75/200,704.10 = 39,020.47/x
  3. Step 3: Cross multiply
    133,815.75x = 200,704.10 × 39,020.47
  4. Step 4: Simplify right side
    133,815.75x = 7,831,567,616.06
  5. Step 5: Solve for x
    x = 7,831,567,616.06/133,815.75
  6. Step 6: Final answer
    x = 58,525.01

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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.