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Finding the Fourth Proportional to 140,527.87, 210,794.55 and 51,735.67

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Solution

The fourth proportional to 140,527.87, 210,794.55 and 51,735.67 is: 77,604.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,527.87 : 210,794.55 = 51,735.67 : x
  2. Step 2: Convert to fraction form
    140,527.87/210,794.55 = 51,735.67/x
  3. Step 3: Cross multiply
    140,527.87x = 210,794.55 × 51,735.67
  4. Step 4: Simplify right side
    140,527.87x = 10,905,597,276.60
  5. Step 5: Solve for x
    x = 10,905,597,276.60/140,527.87
  6. Step 6: Final answer
    x = 77,604.52

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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.