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Finding the Fourth Proportional to 277,109.86, 382,411.38 and 149,785.46

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Solution

The fourth proportional to 277,109.86, 382,411.38 and 149,785.46 is: 206,703.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,109.86 : 382,411.38 = 149,785.46 : x
  2. Step 2: Convert to fraction form
    277,109.86/382,411.38 = 149,785.46/x
  3. Step 3: Cross multiply
    277,109.86x = 382,411.38 × 149,785.46
  4. Step 4: Simplify right side
    277,109.86x = 57,279,664,462.53
  5. Step 5: Solve for x
    x = 57,279,664,462.53/277,109.86
  6. Step 6: Final answer
    x = 206,703.81

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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.