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Finding the Fourth Proportional to 299,033.04, 412,675.56 and 163,074.43

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Solution

The fourth proportional to 299,033.04, 412,675.56 and 163,074.43 is: 225,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,033.04 : 412,675.56 = 163,074.43 : x
  2. Step 2: Convert to fraction form
    299,033.04/412,675.56 = 163,074.43/x
  3. Step 3: Cross multiply
    299,033.04x = 412,675.56 × 163,074.43
  4. Step 4: Simplify right side
    299,033.04x = 67,296,828,843.18
  5. Step 5: Solve for x
    x = 67,296,828,843.18/299,033.04
  6. Step 6: Final answer
    x = 225,048.14

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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.