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Finding the Fourth Proportional to 300,095.90, 414,116.98 and 164,103.42

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Solution

The fourth proportional to 300,095.90, 414,116.98 and 164,103.42 is: 226,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,095.90 : 414,116.98 = 164,103.42 : x
  2. Step 2: Convert to fraction form
    300,095.90/414,116.98 = 164,103.42/x
  3. Step 3: Cross multiply
    300,095.90x = 414,116.98 × 164,103.42
  4. Step 4: Simplify right side
    300,095.90x = 67,958,012,698.07
  5. Step 5: Solve for x
    x = 67,958,012,698.07/300,095.90
  6. Step 6: Final answer
    x = 226,454.32

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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.