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Finding the Fourth Proportional to 202,454.20, 303,681.30 and 191,567.80

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Solution

The fourth proportional to 202,454.20, 303,681.30 and 191,567.80 is: 287,351.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,454.20 : 303,681.30 = 191,567.80 : x
  2. Step 2: Convert to fraction form
    202,454.20/303,681.30 = 191,567.80/x
  3. Step 3: Cross multiply
    202,454.20x = 303,681.30 × 191,567.80
  4. Step 4: Simplify right side
    202,454.20x = 58,175,558,542.14
  5. Step 5: Solve for x
    x = 58,175,558,542.14/202,454.20
  6. Step 6: Final answer
    x = 287,351.70

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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.