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Finding the Fourth Proportional to 305,874.40, 458,811.60 and 81,234.40

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Solution

The fourth proportional to 305,874.40, 458,811.60 and 81,234.40 is: 121,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,874.40 : 458,811.60 = 81,234.40 : x
  2. Step 2: Convert to fraction form
    305,874.40/458,811.60 = 81,234.40/x
  3. Step 3: Cross multiply
    305,874.40x = 458,811.60 × 81,234.40
  4. Step 4: Simplify right side
    305,874.40x = 37,271,285,039.04
  5. Step 5: Solve for x
    x = 37,271,285,039.04/305,874.40
  6. Step 6: Final answer
    x = 121,851.60

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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.