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Finding the Fourth Proportional to 300,741.30, 450,967.89 and 101,006.22

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Solution

The fourth proportional to 300,741.30, 450,967.89 and 101,006.22 is: 151,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,741.30 : 450,967.89 = 101,006.22 : x
  2. Step 2: Convert to fraction form
    300,741.30/450,967.89 = 101,006.22/x
  3. Step 3: Cross multiply
    300,741.30x = 450,967.89 × 101,006.22
  4. Step 4: Simplify right side
    300,741.30x = 45,550,561,910.28
  5. Step 5: Solve for x
    x = 45,550,561,910.28/300,741.30
  6. Step 6: Final answer
    x = 151,460.95

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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.