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Finding the Fourth Proportional to 260,703, 359,770.14 and 141,471

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Solution

The fourth proportional to 260,703, 359,770.14 and 141,471 is: 195,229.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,703 : 359,770.14 = 141,471 : x
  2. Step 2: Convert to fraction form
    260,703/359,770.14 = 141,471/x
  3. Step 3: Cross multiply
    260,703x = 359,770.14 × 141,471
  4. Step 4: Simplify right side
    260,703x = 50,897,041,475.94
  5. Step 5: Solve for x
    x = 50,897,041,475.94/260,703
  6. Step 6: Final answer
    x = 195,229.98

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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.