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Finding the Fourth Proportional to 200,413.01, 276,558.35 and 109,770.71

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Solution

The fourth proportional to 200,413.01, 276,558.35 and 109,770.71 is: 151,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.01 : 276,558.35 = 109,770.71 : x
  2. Step 2: Convert to fraction form
    200,413.01/276,558.35 = 109,770.71/x
  3. Step 3: Cross multiply
    200,413.01x = 276,558.35 × 109,770.71
  4. Step 4: Simplify right side
    200,413.01x = 30,358,004,504.28
  5. Step 5: Solve for x
    x = 30,358,004,504.28/200,413.01
  6. Step 6: Final answer
    x = 151,477.22

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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.