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Finding the Fourth Proportional to 186,443.20, 279,664.80 and 135,704.80

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Solution

The fourth proportional to 186,443.20, 279,664.80 and 135,704.80 is: 203,557.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,443.20 : 279,664.80 = 135,704.80 : x
  2. Step 2: Convert to fraction form
    186,443.20/279,664.80 = 135,704.80/x
  3. Step 3: Cross multiply
    186,443.20x = 279,664.80 × 135,704.80
  4. Step 4: Simplify right side
    186,443.20x = 37,951,855,751.04
  5. Step 5: Solve for x
    x = 37,951,855,751.04/186,443.20
  6. Step 6: Final answer
    x = 203,557.20

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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.