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Finding the Fourth Proportional to 300,048.30, 414,060.39 and 164,080.71

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Solution

The fourth proportional to 300,048.30, 414,060.39 and 164,080.71 is: 226,427.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,048.30 : 414,060.39 = 164,080.71 : x
  2. Step 2: Convert to fraction form
    300,048.30/414,060.39 = 164,080.71/x
  3. Step 3: Cross multiply
    300,048.30x = 414,060.39 × 164,080.71
  4. Step 4: Simplify right side
    300,048.30x = 67,939,322,774.08
  5. Step 5: Solve for x
    x = 67,939,322,774.08/300,048.30
  6. Step 6: Final answer
    x = 226,427.95

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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.