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Finding the Fourth Proportional to 277,119.33, 382,424.51 and 149,794.92

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Solution

The fourth proportional to 277,119.33, 382,424.51 and 149,794.92 is: 206,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,119.33 : 382,424.51 = 149,794.92 : x
  2. Step 2: Convert to fraction form
    277,119.33/382,424.51 = 149,794.92/x
  3. Step 3: Cross multiply
    277,119.33x = 382,424.51 × 149,794.92
  4. Step 4: Simplify right side
    277,119.33x = 57,285,248,881.49
  5. Step 5: Solve for x
    x = 57,285,248,881.49/277,119.33
  6. Step 6: Final answer
    x = 206,716.90

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1.5x scale

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.