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Finding the Fourth Proportional to 300,136.10, 414,172.35 and 164,143.58

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Solution

The fourth proportional to 300,136.10, 414,172.35 and 164,143.58 is: 226,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,136.10 : 414,172.35 = 164,143.58 : x
  2. Step 2: Convert to fraction form
    300,136.10/414,172.35 = 164,143.58/x
  3. Step 3: Cross multiply
    300,136.10x = 414,172.35 × 164,143.58
  4. Step 4: Simplify right side
    300,136.10x = 67,983,730,195.15
  5. Step 5: Solve for x
    x = 67,983,730,195.15/300,136.10
  6. Step 6: Final answer
    x = 226,509.68

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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.