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Finding the Fourth Proportional to 301,195.98, 451,694.34 and 101,466.72

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Solution

The fourth proportional to 301,195.98, 451,694.34 and 101,466.72 is: 152,166.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.98 : 451,694.34 = 101,466.72 : x
  2. Step 2: Convert to fraction form
    301,195.98/451,694.34 = 101,466.72/x
  3. Step 3: Cross multiply
    301,195.98x = 451,694.34 × 101,466.72
  4. Step 4: Simplify right side
    301,195.98x = 45,831,943,122.36
  5. Step 5: Solve for x
    x = 45,831,943,122.36/301,195.98
  6. Step 6: Final answer
    x = 152,166.52

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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.