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Finding the Fourth Proportional to 300,135.35, 414,171.32 and 164,142.83

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Solution

The fourth proportional to 300,135.35, 414,171.32 and 164,142.83 is: 226,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,135.35 : 414,171.32 = 164,142.83 : x
  2. Step 2: Convert to fraction form
    300,135.35/414,171.32 = 164,142.83/x
  3. Step 3: Cross multiply
    300,135.35x = 414,171.32 × 164,142.83
  4. Step 4: Simplify right side
    300,135.35x = 67,983,249,678.06
  5. Step 5: Solve for x
    x = 67,983,249,678.06/300,135.35
  6. Step 6: Final answer
    x = 226,508.64

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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.