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Finding the Fourth Proportional to 301,664.57, 451,807.94 and 144,003.74

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Solution

The fourth proportional to 301,664.57, 451,807.94 and 144,003.74 is: 215,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,664.57 : 451,807.94 = 144,003.74 : x
  2. Step 2: Convert to fraction form
    301,664.57/451,807.94 = 144,003.74/x
  3. Step 3: Cross multiply
    301,664.57x = 451,807.94 × 144,003.74
  4. Step 4: Simplify right side
    301,664.57x = 65,062,033,121.70
  5. Step 5: Solve for x
    x = 65,062,033,121.70/301,664.57
  6. Step 6: Final answer
    x = 215,676.75

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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.