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Finding the Fourth Proportional to 200,413.92, 276,621.12 and 115,582.08

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Solution

The fourth proportional to 200,413.92, 276,621.12 and 115,582.08 is: 159,532.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,413.92 : 276,621.12 = 115,582.08 : x
  2. Step 2: Convert to fraction form
    200,413.92/276,621.12 = 115,582.08/x
  3. Step 3: Cross multiply
    200,413.92x = 276,621.12 × 115,582.08
  4. Step 4: Simplify right side
    200,413.92x = 31,972,444,421.53
  5. Step 5: Solve for x
    x = 31,972,444,421.53/200,413.92
  6. Step 6: Final answer
    x = 159,532.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.