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Finding the Fourth Proportional to 202,533.90, 303,217.65 and 196,701.90

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Solution

The fourth proportional to 202,533.90, 303,217.65 and 196,701.90 is: 294,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,533.90 : 303,217.65 = 196,701.90 : x
  2. Step 2: Convert to fraction form
    202,533.90/303,217.65 = 196,701.90/x
  3. Step 3: Cross multiply
    202,533.90x = 303,217.65 × 196,701.90
  4. Step 4: Simplify right side
    202,533.90x = 59,643,487,868.54
  5. Step 5: Solve for x
    x = 59,643,487,868.54/202,533.90
  6. Step 6: Final answer
    x = 294,486.44

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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.