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Finding the Fourth Proportional to 213,905.44, 295,191.84 and 118,413.82

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Solution

The fourth proportional to 213,905.44, 295,191.84 and 118,413.82 is: 163,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.44 : 295,191.84 = 118,413.82 : x
  2. Step 2: Convert to fraction form
    213,905.44/295,191.84 = 118,413.82/x
  3. Step 3: Cross multiply
    213,905.44x = 295,191.84 × 118,413.82
  4. Step 4: Simplify right side
    213,905.44x = 34,954,793,407.23
  5. Step 5: Solve for x
    x = 34,954,793,407.23/213,905.44
  6. Step 6: Final answer
    x = 163,412.36

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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.