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Finding the Fourth Proportional to 193,513.20, 290,269.80 and 151,522.80

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Solution

The fourth proportional to 193,513.20, 290,269.80 and 151,522.80 is: 227,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,513.20 : 290,269.80 = 151,522.80 : x
  2. Step 2: Convert to fraction form
    193,513.20/290,269.80 = 151,522.80/x
  3. Step 3: Cross multiply
    193,513.20x = 290,269.80 × 151,522.80
  4. Step 4: Simplify right side
    193,513.20x = 43,982,492,851.44
  5. Step 5: Solve for x
    x = 43,982,492,851.44/193,513.20
  6. Step 6: Final answer
    x = 227,284.20

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1.5x scale

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.