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Finding the Fourth Proportional to 301,140.48, 451,732.56 and 90,794.76

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Solution

The fourth proportional to 301,140.48, 451,732.56 and 90,794.76 is: 136,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,140.48 : 451,732.56 = 90,794.76 : x
  2. Step 2: Convert to fraction form
    301,140.48/451,732.56 = 90,794.76/x
  3. Step 3: Cross multiply
    301,140.48x = 451,732.56 × 90,794.76
  4. Step 4: Simplify right side
    301,140.48x = 41,014,949,369.39
  5. Step 5: Solve for x
    x = 41,014,949,369.39/301,140.48
  6. Step 6: Final answer
    x = 136,198.72

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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.