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Finding the Fourth Proportional to 133,649.58, 200,450.15 and 53,684.33

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Solution

The fourth proportional to 133,649.58, 200,450.15 and 53,684.33 is: 80,516.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,649.58 : 200,450.15 = 53,684.33 : x
  2. Step 2: Convert to fraction form
    133,649.58/200,450.15 = 53,684.33/x
  3. Step 3: Cross multiply
    133,649.58x = 200,450.15 × 53,684.33
  4. Step 4: Simplify right side
    133,649.58x = 10,761,030,730.48
  5. Step 5: Solve for x
    x = 10,761,030,730.48/133,649.58
  6. Step 6: Final answer
    x = 80,516.76

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1.5x scale

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.