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Finding the Fourth Proportional to 214,413.82, 295,904.32 and 118,920.58

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Solution

The fourth proportional to 214,413.82, 295,904.32 and 118,920.58 is: 164,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413.82 : 295,904.32 = 118,920.58 : x
  2. Step 2: Convert to fraction form
    214,413.82/295,904.32 = 118,920.58/x
  3. Step 3: Cross multiply
    214,413.82x = 295,904.32 × 118,920.58
  4. Step 4: Simplify right side
    214,413.82x = 35,189,112,321.84
  5. Step 5: Solve for x
    x = 35,189,112,321.84/214,413.82
  6. Step 6: Final answer
    x = 164,117.75

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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.