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Finding the Fourth Proportional to 311,023.52, 466,609.32 and 100,661.46

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Solution

The fourth proportional to 311,023.52, 466,609.32 and 100,661.46 is: 151,016.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,023.52 : 466,609.32 = 100,661.46 : x
  2. Step 2: Convert to fraction form
    311,023.52/466,609.32 = 100,661.46/x
  3. Step 3: Cross multiply
    311,023.52x = 466,609.32 × 100,661.46
  4. Step 4: Simplify right side
    311,023.52x = 46,969,572,564.45
  5. Step 5: Solve for x
    x = 46,969,572,564.45/311,023.52
  6. Step 6: Final answer
    x = 151,016.14

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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.