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Finding the Fourth Proportional to 202,355.16, 303,533.65 and 52,584.85

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Solution

The fourth proportional to 202,355.16, 303,533.65 and 52,584.85 is: 78,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,355.16 : 303,533.65 = 52,584.85 : x
  2. Step 2: Convert to fraction form
    202,355.16/303,533.65 = 52,584.85/x
  3. Step 3: Cross multiply
    202,355.16x = 303,533.65 × 52,584.85
  4. Step 4: Simplify right side
    202,355.16x = 15,961,270,340.87
  5. Step 5: Solve for x
    x = 15,961,270,340.87/202,355.16
  6. Step 6: Final answer
    x = 78,877.51

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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.