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Finding the Fourth Proportional to 138,595.07, 207,890.78 and 33,413.19

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Solution

The fourth proportional to 138,595.07, 207,890.78 and 33,413.19 is: 50,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,595.07 : 207,890.78 = 33,413.19 : x
  2. Step 2: Convert to fraction form
    138,595.07/207,890.78 = 33,413.19/x
  3. Step 3: Cross multiply
    138,595.07x = 207,890.78 × 33,413.19
  4. Step 4: Simplify right side
    138,595.07x = 6,946,294,131.39
  5. Step 5: Solve for x
    x = 6,946,294,131.39/138,595.07
  6. Step 6: Final answer
    x = 50,119.35

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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.