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Finding the Fourth Proportional to 142,206.87, 213,311.12 and 47,436.81

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Solution

The fourth proportional to 142,206.87, 213,311.12 and 47,436.81 is: 71,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,206.87 : 213,311.12 = 47,436.81 : x
  2. Step 2: Convert to fraction form
    142,206.87/213,311.12 = 47,436.81/x
  3. Step 3: Cross multiply
    142,206.87x = 213,311.12 × 47,436.81
  4. Step 4: Simplify right side
    142,206.87x = 10,118,800,099.87
  5. Step 5: Solve for x
    x = 10,118,800,099.87/142,206.87
  6. Step 6: Final answer
    x = 71,155.50

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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.