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Finding the Fourth Proportional to 277,201.64, 415,808.94 and 90,227.72

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Solution

The fourth proportional to 277,201.64, 415,808.94 and 90,227.72 is: 135,343.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,201.64 : 415,808.94 = 90,227.72 : x
  2. Step 2: Convert to fraction form
    277,201.64/415,808.94 = 90,227.72/x
  3. Step 3: Cross multiply
    277,201.64x = 415,808.94 × 90,227.72
  4. Step 4: Simplify right side
    277,201.64x = 37,517,492,611.82
  5. Step 5: Solve for x
    x = 37,517,492,611.82/277,201.64
  6. Step 6: Final answer
    x = 135,343.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.