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Finding the Fourth Proportional to 270,669.42, 405,819.60 and 137,292.50

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Solution

The fourth proportional to 270,669.42, 405,819.60 and 137,292.50 is: 205,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,669.42 : 405,819.60 = 137,292.50 : x
  2. Step 2: Convert to fraction form
    270,669.42/405,819.60 = 137,292.50/x
  3. Step 3: Cross multiply
    270,669.42x = 405,819.60 × 137,292.50
  4. Step 4: Simplify right side
    270,669.42x = 55,715,987,433
  5. Step 5: Solve for x
    x = 55,715,987,433/270,669.42
  6. Step 6: Final answer
    x = 205,845.15

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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.