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Finding the Fourth Proportional to 133,782.12, 200,706.39 and 53,825.40

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Solution

The fourth proportional to 133,782.12, 200,706.39 and 53,825.40 is: 80,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,782.12 : 200,706.39 = 53,825.40 : x
  2. Step 2: Convert to fraction form
    133,782.12/200,706.39 = 53,825.40/x
  3. Step 3: Cross multiply
    133,782.12x = 200,706.39 × 53,825.40
  4. Step 4: Simplify right side
    133,782.12x = 10,803,101,724.31
  5. Step 5: Solve for x
    x = 10,803,101,724.31/133,782.12
  6. Step 6: Final answer
    x = 80,751.46

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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.