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Finding the Fourth Proportional to 277,432.32, 382,853.88 and 150,105.12

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Solution

The fourth proportional to 277,432.32, 382,853.88 and 150,105.12 is: 207,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,432.32 : 382,853.88 = 150,105.12 : x
  2. Step 2: Convert to fraction form
    277,432.32/382,853.88 = 150,105.12/x
  3. Step 3: Cross multiply
    277,432.32x = 382,853.88 × 150,105.12
  4. Step 4: Simplify right side
    277,432.32x = 57,468,327,599.87
  5. Step 5: Solve for x
    x = 57,468,327,599.87/277,432.32
  6. Step 6: Final answer
    x = 207,143.59

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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.