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Finding the Fourth Proportional to 270,057.34, 405,340.26 and 137,033.07

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Solution

The fourth proportional to 270,057.34, 405,340.26 and 137,033.07 is: 205,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,057.34 : 405,340.26 = 137,033.07 : x
  2. Step 2: Convert to fraction form
    270,057.34/405,340.26 = 137,033.07/x
  3. Step 3: Cross multiply
    270,057.34x = 405,340.26 × 137,033.07
  4. Step 4: Simplify right side
    270,057.34x = 55,545,020,222.40
  5. Step 5: Solve for x
    x = 55,545,020,222.40/270,057.34
  6. Step 6: Final answer
    x = 205,678.62

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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.