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Finding the Fourth Proportional to 213,905.19, 295,191.50 and 118,413.48

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Solution

The fourth proportional to 213,905.19, 295,191.50 and 118,413.48 is: 163,411.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,905.19 : 295,191.50 = 118,413.48 : x
  2. Step 2: Convert to fraction form
    213,905.19/295,191.50 = 118,413.48/x
  3. Step 3: Cross multiply
    213,905.19x = 295,191.50 × 118,413.48
  4. Step 4: Simplify right side
    213,905.19x = 34,954,652,189.35
  5. Step 5: Solve for x
    x = 34,954,652,189.35/213,905.19
  6. Step 6: Final answer
    x = 163,411.89

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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.