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Finding the Fourth Proportional to 260,682, 359,741.16 and 141,450

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Solution

The fourth proportional to 260,682, 359,741.16 and 141,450 is: 195,201

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,682 : 359,741.16 = 141,450 : x
  2. Step 2: Convert to fraction form
    260,682/359,741.16 = 141,450/x
  3. Step 3: Cross multiply
    260,682x = 359,741.16 × 141,450
  4. Step 4: Simplify right side
    260,682x = 50,885,387,082
  5. Step 5: Solve for x
    x = 50,885,387,082/260,682
  6. Step 6: Final answer
    x = 195,201

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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.