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Finding the Fourth Proportional to 214,413.70, 295,871.52 and 118,920.10

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Solution

The fourth proportional to 214,413.70, 295,871.52 and 118,920.10 is: 164,098.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413.70 : 295,871.52 = 118,920.10 : x
  2. Step 2: Convert to fraction form
    214,413.70/295,871.52 = 118,920.10/x
  3. Step 3: Cross multiply
    214,413.70x = 295,871.52 × 118,920.10
  4. Step 4: Simplify right side
    214,413.70x = 35,185,070,745.55
  5. Step 5: Solve for x
    x = 35,185,070,745.55/214,413.70
  6. Step 6: Final answer
    x = 164,098.99

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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.