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Finding the Fourth Proportional to 300,267.83, 414,366.08 and 164,300.22

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Solution

The fourth proportional to 300,267.83, 414,366.08 and 164,300.22 is: 226,732.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,267.83 : 414,366.08 = 164,300.22 : x
  2. Step 2: Convert to fraction form
    300,267.83/414,366.08 = 164,300.22/x
  3. Step 3: Cross multiply
    300,267.83x = 414,366.08 × 164,300.22
  4. Step 4: Simplify right side
    300,267.83x = 68,080,437,283.04
  5. Step 5: Solve for x
    x = 68,080,437,283.04/300,267.83
  6. Step 6: Final answer
    x = 226,732.38

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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.