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Finding the Fourth Proportional to 208,288, 312,334.08 and 89,885.44

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Solution

The fourth proportional to 208,288, 312,334.08 and 89,885.44 is: 134,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,288 : 312,334.08 = 89,885.44 : x
  2. Step 2: Convert to fraction form
    208,288/312,334.08 = 89,885.44/x
  3. Step 3: Cross multiply
    208,288x = 312,334.08 × 89,885.44
  4. Step 4: Simplify right side
    208,288x = 28,074,286,207.80
  5. Step 5: Solve for x
    x = 28,074,286,207.80/208,288
  6. Step 6: Final answer
    x = 134,785.90

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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.