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Finding the Fourth Proportional to 133,645.97, 200,444.74 and 53,680.71

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Solution

The fourth proportional to 133,645.97, 200,444.74 and 53,680.71 is: 80,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,645.97 : 200,444.74 = 53,680.71 : x
  2. Step 2: Convert to fraction form
    133,645.97/200,444.74 = 53,680.71/x
  3. Step 3: Cross multiply
    133,645.97x = 200,444.74 × 53,680.71
  4. Step 4: Simplify right side
    133,645.97x = 10,760,015,448.93
  5. Step 5: Solve for x
    x = 10,760,015,448.93/133,645.97
  6. Step 6: Final answer
    x = 80,511.34

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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.