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Finding the Fourth Proportional to 533,561.78, 800,283.69 and 134,202.71

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Solution

The fourth proportional to 533,561.78, 800,283.69 and 134,202.71 is: 201,289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,561.78 : 800,283.69 = 134,202.71 : x
  2. Step 2: Convert to fraction form
    533,561.78/800,283.69 = 134,202.71/x
  3. Step 3: Cross multiply
    533,561.78x = 800,283.69 × 134,202.71
  4. Step 4: Simplify right side
    533,561.78x = 107,400,236,300.89
  5. Step 5: Solve for x
    x = 107,400,236,300.89/533,561.78
  6. Step 6: Final answer
    x = 201,289.23

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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.