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Finding the Fourth Proportional to 301,041.77, 415,450.25 and 165,080.96

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Solution

The fourth proportional to 301,041.77, 415,450.25 and 165,080.96 is: 227,818.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,041.77 : 415,450.25 = 165,080.96 : x
  2. Step 2: Convert to fraction form
    301,041.77/415,450.25 = 165,080.96/x
  3. Step 3: Cross multiply
    301,041.77x = 415,450.25 × 165,080.96
  4. Step 4: Simplify right side
    301,041.77x = 68,582,925,488.78
  5. Step 5: Solve for x
    x = 68,582,925,488.78/301,041.77
  6. Step 6: Final answer
    x = 227,818.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.