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Finding the Fourth Proportional to 311,093.54, 466,889.45 and 142,693.19

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Solution

The fourth proportional to 311,093.54, 466,889.45 and 142,693.19 is: 214,154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,093.54 : 466,889.45 = 142,693.19 : x
  2. Step 2: Convert to fraction form
    311,093.54/466,889.45 = 142,693.19/x
  3. Step 3: Cross multiply
    311,093.54x = 466,889.45 × 142,693.19
  4. Step 4: Simplify right side
    311,093.54x = 66,621,941,949.93
  5. Step 5: Solve for x
    x = 66,621,941,949.93/311,093.54
  6. Step 6: Final answer
    x = 214,154.05

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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.