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Finding the Fourth Proportional to 192,230.32, 288,345.50 and 57,296.48

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Solution

The fourth proportional to 192,230.32, 288,345.50 and 57,296.48 is: 85,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,230.32 : 288,345.50 = 57,296.48 : x
  2. Step 2: Convert to fraction form
    192,230.32/288,345.50 = 57,296.48/x
  3. Step 3: Cross multiply
    192,230.32x = 288,345.50 × 57,296.48
  4. Step 4: Simplify right side
    192,230.32x = 16,521,182,173.84
  5. Step 5: Solve for x
    x = 16,521,182,173.84/192,230.32
  6. Step 6: Final answer
    x = 85,944.73

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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.