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Finding the Fourth Proportional to 311,094.54, 466,890.95 and 142,694.19

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Solution

The fourth proportional to 311,094.54, 466,890.95 and 142,694.19 is: 214,155.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,094.54 : 466,890.95 = 142,694.19 : x
  2. Step 2: Convert to fraction form
    311,094.54/466,890.95 = 142,694.19/x
  3. Step 3: Cross multiply
    311,094.54x = 466,890.95 × 142,694.19
  4. Step 4: Simplify right side
    311,094.54x = 66,622,625,928.58
  5. Step 5: Solve for x
    x = 66,622,625,928.58/311,094.54
  6. Step 6: Final answer
    x = 214,155.56

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Why These Related Problems?

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