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Finding the Fourth Proportional to 209,258.54, 313,789.37 and 146,149.92

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Solution

The fourth proportional to 209,258.54, 313,789.37 and 146,149.92 is: 219,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,258.54 : 313,789.37 = 146,149.92 : x
  2. Step 2: Convert to fraction form
    209,258.54/313,789.37 = 146,149.92/x
  3. Step 3: Cross multiply
    209,258.54x = 313,789.37 × 146,149.92
  4. Step 4: Simplify right side
    209,258.54x = 45,860,290,591.60
  5. Step 5: Solve for x
    x = 45,860,290,591.60/209,258.54
  6. Step 6: Final answer
    x = 219,156.13

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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.