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Finding the Fourth Proportional to 311,112, 466,737.12 and 114,120

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Solution

The fourth proportional to 311,112, 466,737.12 and 114,120 is: 171,205.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,112 : 466,737.12 = 114,120 : x
  2. Step 2: Convert to fraction form
    311,112/466,737.12 = 114,120/x
  3. Step 3: Cross multiply
    311,112x = 466,737.12 × 114,120
  4. Step 4: Simplify right side
    311,112x = 53,264,040,134.40
  5. Step 5: Solve for x
    x = 53,264,040,134.40/311,112
  6. Step 6: Final answer
    x = 171,205.35

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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.