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Finding the Fourth Proportional to 116,413.56, 160,670.04 and 68,678.64

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Solution

The fourth proportional to 116,413.56, 160,670.04 and 68,678.64 is: 94,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,413.56 : 160,670.04 = 68,678.64 : x
  2. Step 2: Convert to fraction form
    116,413.56/160,670.04 = 68,678.64/x
  3. Step 3: Cross multiply
    116,413.56x = 160,670.04 × 68,678.64
  4. Step 4: Simplify right side
    116,413.56x = 11,034,599,835.95
  5. Step 5: Solve for x
    x = 11,034,599,835.95/116,413.56
  6. Step 6: Final answer
    x = 94,787.93

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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.