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Finding the Fourth Proportional to 270,135.36, 405,188.46 and 137,012.18

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Solution

The fourth proportional to 270,135.36, 405,188.46 and 137,012.18 is: 205,510.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,135.36 : 405,188.46 = 137,012.18 : x
  2. Step 2: Convert to fraction form
    270,135.36/405,188.46 = 137,012.18/x
  3. Step 3: Cross multiply
    270,135.36x = 405,188.46 × 137,012.18
  4. Step 4: Simplify right side
    270,135.36x = 55,515,752,189.50
  5. Step 5: Solve for x
    x = 55,515,752,189.50/270,135.36
  6. Step 6: Final answer
    x = 205,510.87

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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.