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Finding the Fourth Proportional to 205,556.78, 308,269.55 and 65,282.60

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Solution

The fourth proportional to 205,556.78, 308,269.55 and 65,282.60 is: 97,903.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,556.78 : 308,269.55 = 65,282.60 : x
  2. Step 2: Convert to fraction form
    205,556.78/308,269.55 = 65,282.60/x
  3. Step 3: Cross multiply
    205,556.78x = 308,269.55 × 65,282.60
  4. Step 4: Simplify right side
    205,556.78x = 20,124,637,724.83
  5. Step 5: Solve for x
    x = 20,124,637,724.83/205,556.78
  6. Step 6: Final answer
    x = 97,903.06

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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.