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Finding the Fourth Proportional to 196,600.42, 294,900.81 and 48,856.42

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Solution

The fourth proportional to 196,600.42, 294,900.81 and 48,856.42 is: 73,284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,600.42 : 294,900.81 = 48,856.42 : x
  2. Step 2: Convert to fraction form
    196,600.42/294,900.81 = 48,856.42/x
  3. Step 3: Cross multiply
    196,600.42x = 294,900.81 × 48,856.42
  4. Step 4: Simplify right side
    196,600.42x = 14,407,797,831.70
  5. Step 5: Solve for x
    x = 14,407,797,831.70/196,600.42
  6. Step 6: Final answer
    x = 73,284.67

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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.