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Finding the Fourth Proportional to 300,134.59, 414,170.28 and 164,142.07

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Solution

The fourth proportional to 300,134.59, 414,170.28 and 164,142.07 is: 226,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,134.59 : 414,170.28 = 164,142.07 : x
  2. Step 2: Convert to fraction form
    300,134.59/414,170.28 = 164,142.07/x
  3. Step 3: Cross multiply
    300,134.59x = 414,170.28 × 164,142.07
  4. Step 4: Simplify right side
    300,134.59x = 67,982,766,056.25
  5. Step 5: Solve for x
    x = 67,982,766,056.25/300,134.59
  6. Step 6: Final answer
    x = 226,507.60

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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.