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Finding the Fourth Proportional to 301,243.84, 451,861.44 and 73,542.40

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Solution

The fourth proportional to 301,243.84, 451,861.44 and 73,542.40 is: 110,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,243.84 : 451,861.44 = 73,542.40 : x
  2. Step 2: Convert to fraction form
    301,243.84/451,861.44 = 73,542.40/x
  3. Step 3: Cross multiply
    301,243.84x = 451,861.44 × 73,542.40
  4. Step 4: Simplify right side
    301,243.84x = 33,230,974,765.06
  5. Step 5: Solve for x
    x = 33,230,974,765.06/301,243.84
  6. Step 6: Final answer
    x = 110,312.55

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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.