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Finding the Fourth Proportional to 193,774.83, 290,662.14 and 53,533.44

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Solution

The fourth proportional to 193,774.83, 290,662.14 and 53,533.44 is: 80,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,774.83 : 290,662.14 = 53,533.44 : x
  2. Step 2: Convert to fraction form
    193,774.83/290,662.14 = 53,533.44/x
  3. Step 3: Cross multiply
    193,774.83x = 290,662.14 × 53,533.44
  4. Step 4: Simplify right side
    193,774.83x = 15,560,144,231.96
  5. Step 5: Solve for x
    x = 15,560,144,231.96/193,774.83
  6. Step 6: Final answer
    x = 80,300.13

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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.