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Finding the Fourth Proportional to 190,462.72, 285,519.12 and 101,777.44

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Solution

The fourth proportional to 190,462.72, 285,519.12 and 101,777.44 is: 152,572.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,462.72 : 285,519.12 = 101,777.44 : x
  2. Step 2: Convert to fraction form
    190,462.72/285,519.12 = 101,777.44/x
  3. Step 3: Cross multiply
    190,462.72x = 285,519.12 × 101,777.44
  4. Step 4: Simplify right side
    190,462.72x = 29,059,405,104.65
  5. Step 5: Solve for x
    x = 29,059,405,104.65/190,462.72
  6. Step 6: Final answer
    x = 152,572.67

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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.