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Finding the Fourth Proportional to 244,876.96, 367,289.52 and 78,652

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Solution

The fourth proportional to 244,876.96, 367,289.52 and 78,652 is: 117,969.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,876.96 : 367,289.52 = 78,652 : x
  2. Step 2: Convert to fraction form
    244,876.96/367,289.52 = 78,652/x
  3. Step 3: Cross multiply
    244,876.96x = 367,289.52 × 78,652
  4. Step 4: Simplify right side
    244,876.96x = 28,888,055,327.04
  5. Step 5: Solve for x
    x = 28,888,055,327.04/244,876.96
  6. Step 6: Final answer
    x = 117,969.67

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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.