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Finding the Fourth Proportional to 260,443, 359,413.50 and 141,211

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Solution

The fourth proportional to 260,443, 359,413.50 and 141,211 is: 194,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,443 : 359,413.50 = 141,211 : x
  2. Step 2: Convert to fraction form
    260,443/359,413.50 = 141,211/x
  3. Step 3: Cross multiply
    260,443x = 359,413.50 × 141,211
  4. Step 4: Simplify right side
    260,443x = 50,753,139,748.50
  5. Step 5: Solve for x
    x = 50,753,139,748.50/260,443
  6. Step 6: Final answer
    x = 194,872.35

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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.