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Finding the Fourth Proportional to 277,028.88, 382,150.08 and 185,306.64

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Solution

The fourth proportional to 277,028.88, 382,150.08 and 185,306.64 is: 255,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,028.88 : 382,150.08 = 185,306.64 : x
  2. Step 2: Convert to fraction form
    277,028.88/382,150.08 = 185,306.64/x
  3. Step 3: Cross multiply
    277,028.88x = 382,150.08 × 185,306.64
  4. Step 4: Simplify right side
    277,028.88x = 70,814,947,300.53
  5. Step 5: Solve for x
    x = 70,814,947,300.53/277,028.88
  6. Step 6: Final answer
    x = 255,622.98

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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.