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Finding the Fourth Proportional to 300,046.06, 414,063.55 and 164,080.11

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Solution

The fourth proportional to 300,046.06, 414,063.55 and 164,080.11 is: 226,430.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,046.06 : 414,063.55 = 164,080.11 : x
  2. Step 2: Convert to fraction form
    300,046.06/414,063.55 = 164,080.11/x
  3. Step 3: Cross multiply
    300,046.06x = 414,063.55 × 164,080.11
  4. Step 4: Simplify right side
    300,046.06x = 67,939,592,830.99
  5. Step 5: Solve for x
    x = 67,939,592,830.99/300,046.06
  6. Step 6: Final answer
    x = 226,430.54

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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.