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Finding the Fourth Proportional to 207,413.39, 286,257.77 and 116,787.01

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Solution

The fourth proportional to 207,413.39, 286,257.77 and 116,787.01 is: 161,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,413.39 : 286,257.77 = 116,787.01 : x
  2. Step 2: Convert to fraction form
    207,413.39/286,257.77 = 116,787.01/x
  3. Step 3: Cross multiply
    207,413.39x = 286,257.77 × 116,787.01
  4. Step 4: Simplify right side
    207,413.39x = 33,431,189,763.21
  5. Step 5: Solve for x
    x = 33,431,189,763.21/207,413.39
  6. Step 6: Final answer
    x = 161,181.45

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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.