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Finding the Fourth Proportional to 277,183.35, 382,513.95 and 149,859.86

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Solution

The fourth proportional to 277,183.35, 382,513.95 and 149,859.86 is: 206,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,183.35 : 382,513.95 = 149,859.86 : x
  2. Step 2: Convert to fraction form
    277,183.35/382,513.95 = 149,859.86/x
  3. Step 3: Cross multiply
    277,183.35x = 382,513.95 × 149,859.86
  4. Step 4: Simplify right side
    277,183.35x = 57,323,485,082.48
  5. Step 5: Solve for x
    x = 57,323,485,082.48/277,183.35
  6. Step 6: Final answer
    x = 206,807.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.