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Finding the Fourth Proportional to 300,091.14, 414,119.98 and 164,124.68

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Solution

The fourth proportional to 300,091.14, 414,119.98 and 164,124.68 is: 226,488.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,091.14 : 414,119.98 = 164,124.68 : x
  2. Step 2: Convert to fraction form
    300,091.14/414,119.98 = 164,124.68/x
  3. Step 3: Cross multiply
    300,091.14x = 414,119.98 × 164,124.68
  4. Step 4: Simplify right side
    300,091.14x = 67,967,308,886.61
  5. Step 5: Solve for x
    x = 67,967,308,886.61/300,091.14
  6. Step 6: Final answer
    x = 226,488.89

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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.