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Finding the Fourth Proportional to 533,564.15, 800,287.26 and 134,205.08

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Solution

The fourth proportional to 533,564.15, 800,287.26 and 134,205.08 is: 201,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,564.15 : 800,287.26 = 134,205.08 : x
  2. Step 2: Convert to fraction form
    533,564.15/800,287.26 = 134,205.08/x
  3. Step 3: Cross multiply
    533,564.15x = 800,287.26 × 134,205.08
  4. Step 4: Simplify right side
    533,564.15x = 107,402,611,749.85
  5. Step 5: Solve for x
    x = 107,402,611,749.85/533,564.15
  6. Step 6: Final answer
    x = 201,292.78

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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.