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Finding the Fourth Proportional to 277,244.23, 382,597.05 and 149,919.83

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Solution

The fourth proportional to 277,244.23, 382,597.05 and 149,919.83 is: 206,889.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,244.23 : 382,597.05 = 149,919.83 : x
  2. Step 2: Convert to fraction form
    277,244.23/382,597.05 = 149,919.83/x
  3. Step 3: Cross multiply
    277,244.23x = 382,597.05 × 149,919.83
  4. Step 4: Simplify right side
    277,244.23x = 57,358,884,694.50
  5. Step 5: Solve for x
    x = 57,358,884,694.50/277,244.23
  6. Step 6: Final answer
    x = 206,889.38

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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.