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Finding the Fourth Proportional to 103,202.50, 154,811.04 and 40,873

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Solution

The fourth proportional to 103,202.50, 154,811.04 and 40,873 is: 61,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.50 : 154,811.04 = 40,873 : x
  2. Step 2: Convert to fraction form
    103,202.50/154,811.04 = 40,873/x
  3. Step 3: Cross multiply
    103,202.50x = 154,811.04 × 40,873
  4. Step 4: Simplify right side
    103,202.50x = 6,327,591,637.92
  5. Step 5: Solve for x
    x = 6,327,591,637.92/103,202.50
  6. Step 6: Final answer
    x = 61,312.39

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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.