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Finding the Fourth Proportional to 277,244.55, 382,597.02 and 149,919.84

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Solution

The fourth proportional to 277,244.55, 382,597.02 and 149,919.84 is: 206,889.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,244.55 : 382,597.02 = 149,919.84 : x
  2. Step 2: Convert to fraction form
    277,244.55/382,597.02 = 149,919.84/x
  3. Step 3: Cross multiply
    277,244.55x = 382,597.02 × 149,919.84
  4. Step 4: Simplify right side
    277,244.55x = 57,358,884,022.88
  5. Step 5: Solve for x
    x = 57,358,884,022.88/277,244.55
  6. Step 6: Final answer
    x = 206,889.13

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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.