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Finding the Fourth Proportional to 193,777.20, 290,665.80 and 100,465.20

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Solution

The fourth proportional to 193,777.20, 290,665.80 and 100,465.20 is: 150,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,777.20 : 290,665.80 = 100,465.20 : x
  2. Step 2: Convert to fraction form
    193,777.20/290,665.80 = 100,465.20/x
  3. Step 3: Cross multiply
    193,777.20x = 290,665.80 × 100,465.20
  4. Step 4: Simplify right side
    193,777.20x = 29,201,797,730.16
  5. Step 5: Solve for x
    x = 29,201,797,730.16/193,777.20
  6. Step 6: Final answer
    x = 150,697.80

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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.