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Finding the Fourth Proportional to 76,188.92, 114,282.16 and 20,784.92

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Solution

The fourth proportional to 76,188.92, 114,282.16 and 20,784.92 is: 31,177.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.92 : 114,282.16 = 20,784.92 : x
  2. Step 2: Convert to fraction form
    76,188.92/114,282.16 = 20,784.92/x
  3. Step 3: Cross multiply
    76,188.92x = 114,282.16 × 20,784.92
  4. Step 4: Simplify right side
    76,188.92x = 2,375,345,553.03
  5. Step 5: Solve for x
    x = 2,375,345,553.03/76,188.92
  6. Step 6: Final answer
    x = 31,177.05

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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.