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Finding the Fourth Proportional to 300,124.89, 414,169.34 and 164,161.49

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Solution

The fourth proportional to 300,124.89, 414,169.34 and 164,161.49 is: 226,541.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,124.89 : 414,169.34 = 164,161.49 : x
  2. Step 2: Convert to fraction form
    300,124.89/414,169.34 = 164,161.49/x
  3. Step 3: Cross multiply
    300,124.89x = 414,169.34 × 164,161.49
  4. Step 4: Simplify right side
    300,124.89x = 67,990,653,075.06
  5. Step 5: Solve for x
    x = 67,990,653,075.06/300,124.89
  6. Step 6: Final answer
    x = 226,541.20

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