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Finding the Fourth Proportional to 203,905.16, 305,689.35 and 89,971.86

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Solution

The fourth proportional to 203,905.16, 305,689.35 and 89,971.86 is: 134,883.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905.16 : 305,689.35 = 89,971.86 : x
  2. Step 2: Convert to fraction form
    203,905.16/305,689.35 = 89,971.86/x
  3. Step 3: Cross multiply
    203,905.16x = 305,689.35 × 89,971.86
  4. Step 4: Simplify right side
    203,905.16x = 27,503,439,401.69
  5. Step 5: Solve for x
    x = 27,503,439,401.69/203,905.16
  6. Step 6: Final answer
    x = 134,883.49

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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.