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Finding the Fourth Proportional to 270,672.57, 405,199.94 and 163,732.93

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Solution

The fourth proportional to 270,672.57, 405,199.94 and 163,732.93 is: 245,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,672.57 : 405,199.94 = 163,732.93 : x
  2. Step 2: Convert to fraction form
    270,672.57/405,199.94 = 163,732.93/x
  3. Step 3: Cross multiply
    270,672.57x = 405,199.94 × 163,732.93
  4. Step 4: Simplify right side
    270,672.57x = 66,344,571,580.36
  5. Step 5: Solve for x
    x = 66,344,571,580.36/270,672.57
  6. Step 6: Final answer
    x = 245,110.07

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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.