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Finding the Fourth Proportional to 260,284, 359,191.92 and 141,052

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Solution

The fourth proportional to 260,284, 359,191.92 and 141,052 is: 194,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,284 : 359,191.92 = 141,052 : x
  2. Step 2: Convert to fraction form
    260,284/359,191.92 = 141,052/x
  3. Step 3: Cross multiply
    260,284x = 359,191.92 × 141,052
  4. Step 4: Simplify right side
    260,284x = 50,664,738,699.84
  5. Step 5: Solve for x
    x = 50,664,738,699.84/260,284
  6. Step 6: Final answer
    x = 194,651.76

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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.