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Finding the Fourth Proportional to 202,584.96, 303,877.66 and 52,825.12

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Solution

The fourth proportional to 202,584.96, 303,877.66 and 52,825.12 is: 79,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,584.96 : 303,877.66 = 52,825.12 : x
  2. Step 2: Convert to fraction form
    202,584.96/303,877.66 = 52,825.12/x
  3. Step 3: Cross multiply
    202,584.96x = 303,877.66 × 52,825.12
  4. Step 4: Simplify right side
    202,584.96x = 16,052,373,854.82
  5. Step 5: Solve for x
    x = 16,052,373,854.82/202,584.96
  6. Step 6: Final answer
    x = 79,237.74

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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.