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Finding the Fourth Proportional to 193,827.20, 290,750.40 and 100,515.20

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Solution

The fourth proportional to 193,827.20, 290,750.40 and 100,515.20 is: 150,777.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,827.20 : 290,750.40 = 100,515.20 : x
  2. Step 2: Convert to fraction form
    193,827.20/290,750.40 = 100,515.20/x
  3. Step 3: Cross multiply
    193,827.20x = 290,750.40 × 100,515.20
  4. Step 4: Simplify right side
    193,827.20x = 29,224,834,606.08
  5. Step 5: Solve for x
    x = 29,224,834,606.08/193,827.20
  6. Step 6: Final answer
    x = 150,777.78

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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.