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Finding the Fourth Proportional to 301,951.08, 452,928.24 and 91,589.22

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Solution

The fourth proportional to 301,951.08, 452,928.24 and 91,589.22 is: 137,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,951.08 : 452,928.24 = 91,589.22 : x
  2. Step 2: Convert to fraction form
    301,951.08/452,928.24 = 91,589.22/x
  3. Step 3: Cross multiply
    301,951.08x = 452,928.24 × 91,589.22
  4. Step 4: Simplify right side
    301,951.08x = 41,483,344,217.57
  5. Step 5: Solve for x
    x = 41,483,344,217.57/301,951.08
  6. Step 6: Final answer
    x = 137,384.32

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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.