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Finding the Fourth Proportional to 200,954.40, 301,172.40 and 153,974.40

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Solution

The fourth proportional to 200,954.40, 301,172.40 and 153,974.40 is: 230,763.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,954.40 : 301,172.40 = 153,974.40 : x
  2. Step 2: Convert to fraction form
    200,954.40/301,172.40 = 153,974.40/x
  3. Step 3: Cross multiply
    200,954.40x = 301,172.40 × 153,974.40
  4. Step 4: Simplify right side
    200,954.40x = 46,372,839,586.56
  5. Step 5: Solve for x
    x = 46,372,839,586.56/200,954.40
  6. Step 6: Final answer
    x = 230,763.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.