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Finding the Fourth Proportional to 165,409.63, 248,115.94 and 47,080.91

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Solution

The fourth proportional to 165,409.63, 248,115.94 and 47,080.91 is: 70,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,409.63 : 248,115.94 = 47,080.91 : x
  2. Step 2: Convert to fraction form
    165,409.63/248,115.94 = 47,080.91/x
  3. Step 3: Cross multiply
    165,409.63x = 248,115.94 × 47,080.91
  4. Step 4: Simplify right side
    165,409.63x = 11,681,524,743.29
  5. Step 5: Solve for x
    x = 11,681,524,743.29/165,409.63
  6. Step 6: Final answer
    x = 70,621.79

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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.