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Finding the Fourth Proportional to 243,776.96, 365,704.40 and 75,257.67

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Solution

The fourth proportional to 243,776.96, 365,704.40 and 75,257.67 is: 112,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,776.96 : 365,704.40 = 75,257.67 : x
  2. Step 2: Convert to fraction form
    243,776.96/365,704.40 = 75,257.67/x
  3. Step 3: Cross multiply
    243,776.96x = 365,704.40 × 75,257.67
  4. Step 4: Simplify right side
    243,776.96x = 27,522,061,052.75
  5. Step 5: Solve for x
    x = 27,522,061,052.75/243,776.96
  6. Step 6: Final answer
    x = 112,898.53

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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.