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Finding the Fourth Proportional to 200,296.64, 276,408.78 and 115,413.50

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Solution

The fourth proportional to 200,296.64, 276,408.78 and 115,413.50 is: 159,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,296.64 : 276,408.78 = 115,413.50 : x
  2. Step 2: Convert to fraction form
    200,296.64/276,408.78 = 115,413.50/x
  3. Step 3: Cross multiply
    200,296.64x = 276,408.78 × 115,413.50
  4. Step 4: Simplify right side
    200,296.64x = 31,901,304,730.53
  5. Step 5: Solve for x
    x = 31,901,304,730.53/200,296.64
  6. Step 6: Final answer
    x = 159,270.29

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1.5x scale

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.