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Finding the Fourth Proportional to 245,208.60, 338,388.16 and 137,778.56

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Solution

The fourth proportional to 245,208.60, 338,388.16 and 137,778.56 is: 190,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,208.60 : 338,388.16 = 137,778.56 : x
  2. Step 2: Convert to fraction form
    245,208.60/338,388.16 = 137,778.56/x
  3. Step 3: Cross multiply
    245,208.60x = 338,388.16 × 137,778.56
  4. Step 4: Simplify right side
    245,208.60x = 46,622,633,405.85
  5. Step 5: Solve for x
    x = 46,622,633,405.85/245,208.60
  6. Step 6: Final answer
    x = 190,134.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.