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Finding the Fourth Proportional to 311,138.50, 466,707.76 and 89,522.50

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Solution

The fourth proportional to 311,138.50, 466,707.76 and 89,522.50 is: 134,283.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,138.50 : 466,707.76 = 89,522.50 : x
  2. Step 2: Convert to fraction form
    311,138.50/466,707.76 = 89,522.50/x
  3. Step 3: Cross multiply
    311,138.50x = 466,707.76 × 89,522.50
  4. Step 4: Simplify right side
    311,138.50x = 41,780,845,444.60
  5. Step 5: Solve for x
    x = 41,780,845,444.60/311,138.50
  6. Step 6: Final answer
    x = 134,283.75

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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.