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Finding the Fourth Proportional to 200,301.16, 276,411.54 and 115,413.16

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Solution

The fourth proportional to 200,301.16, 276,411.54 and 115,413.16 is: 159,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,301.16 : 276,411.54 = 115,413.16 : x
  2. Step 2: Convert to fraction form
    200,301.16/276,411.54 = 115,413.16/x
  3. Step 3: Cross multiply
    200,301.16x = 276,411.54 × 115,413.16
  4. Step 4: Simplify right side
    200,301.16x = 31,901,529,291.87
  5. Step 5: Solve for x
    x = 31,901,529,291.87/200,301.16
  6. Step 6: Final answer
    x = 159,267.82

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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.