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Finding the Fourth Proportional to 200,413.82, 300,648.40 and 67,332.13

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Solution

The fourth proportional to 200,413.82, 300,648.40 and 67,332.13 is: 101,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.82 : 300,648.40 = 67,332.13 : x
  2. Step 2: Convert to fraction form
    200,413.82/300,648.40 = 67,332.13/x
  3. Step 3: Cross multiply
    200,413.82x = 300,648.40 × 67,332.13
  4. Step 4: Simplify right side
    200,413.82x = 20,243,297,153.09
  5. Step 5: Solve for x
    x = 20,243,297,153.09/200,413.82
  6. Step 6: Final answer
    x = 101,007.49

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1.5x scale

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.