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Finding the Fourth Proportional to 305,849.80, 458,774.70 and 81,244.90

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Solution

The fourth proportional to 305,849.80, 458,774.70 and 81,244.90 is: 121,867.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,849.80 : 458,774.70 = 81,244.90 : x
  2. Step 2: Convert to fraction form
    305,849.80/458,774.70 = 81,244.90/x
  3. Step 3: Cross multiply
    305,849.80x = 458,774.70 × 81,244.90
  4. Step 4: Simplify right side
    305,849.80x = 37,273,104,624.03
  5. Step 5: Solve for x
    x = 37,273,104,624.03/305,849.80
  6. Step 6: Final answer
    x = 121,867.35

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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.