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Finding the Fourth Proportional to 200,936.40, 301,145.40 and 153,956.40

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Solution

The fourth proportional to 200,936.40, 301,145.40 and 153,956.40 is: 230,736.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,936.40 : 301,145.40 = 153,956.40 : x
  2. Step 2: Convert to fraction form
    200,936.40/301,145.40 = 153,956.40/x
  3. Step 3: Cross multiply
    200,936.40x = 301,145.40 × 153,956.40
  4. Step 4: Simplify right side
    200,936.40x = 46,363,261,660.56
  5. Step 5: Solve for x
    x = 46,363,261,660.56/200,936.40
  6. Step 6: Final answer
    x = 230,736.00

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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.