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Finding the Fourth Proportional to 533,136.25, 799,830.74 and 159,168.97

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Solution

The fourth proportional to 533,136.25, 799,830.74 and 159,168.97 is: 238,791.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,136.25 : 799,830.74 = 159,168.97 : x
  2. Step 2: Convert to fraction form
    533,136.25/799,830.74 = 159,168.97/x
  3. Step 3: Cross multiply
    533,136.25x = 799,830.74 × 159,168.97
  4. Step 4: Simplify right side
    533,136.25x = 127,308,235,060.14
  5. Step 5: Solve for x
    x = 127,308,235,060.14/533,136.25
  6. Step 6: Final answer
    x = 238,791.18

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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.