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Finding the Fourth Proportional to 277,524.36, 382,984.74 and 150,199.92

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Solution

The fourth proportional to 277,524.36, 382,984.74 and 150,199.92 is: 207,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,524.36 : 382,984.74 = 150,199.92 : x
  2. Step 2: Convert to fraction form
    277,524.36/382,984.74 = 150,199.92/x
  3. Step 3: Cross multiply
    277,524.36x = 382,984.74 × 150,199.92
  4. Step 4: Simplify right side
    277,524.36x = 57,524,277,309.22
  5. Step 5: Solve for x
    x = 57,524,277,309.22/277,524.36
  6. Step 6: Final answer
    x = 207,276.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.