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Finding the Fourth Proportional to 190,337.92, 285,418.24 and 85,157.76

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Solution

The fourth proportional to 190,337.92, 285,418.24 and 85,157.76 is: 127,696.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,337.92 : 285,418.24 = 85,157.76 : x
  2. Step 2: Convert to fraction form
    190,337.92/285,418.24 = 85,157.76/x
  3. Step 3: Cross multiply
    190,337.92x = 285,418.24 × 85,157.76
  4. Step 4: Simplify right side
    190,337.92x = 24,305,577,981.54
  5. Step 5: Solve for x
    x = 24,305,577,981.54/190,337.92
  6. Step 6: Final answer
    x = 127,696.98

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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.