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Finding the Fourth Proportional to 133,695.34, 200,568.34 and 53,739.54

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Solution

The fourth proportional to 133,695.34, 200,568.34 and 53,739.54 is: 80,619.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,695.34 : 200,568.34 = 53,739.54 : x
  2. Step 2: Convert to fraction form
    133,695.34/200,568.34 = 53,739.54/x
  3. Step 3: Cross multiply
    133,695.34x = 200,568.34 × 53,739.54
  4. Step 4: Simplify right side
    133,695.34x = 10,778,450,330.16
  5. Step 5: Solve for x
    x = 10,778,450,330.16/133,695.34
  6. Step 6: Final answer
    x = 80,619.49

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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.