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Finding the Fourth Proportional to 260,249.96, 359,142 and 141,017.96

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Solution

The fourth proportional to 260,249.96, 359,142 and 141,017.96 is: 194,603.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,249.96 : 359,142 = 141,017.96 : x
  2. Step 2: Convert to fraction form
    260,249.96/359,142 = 141,017.96/x
  3. Step 3: Cross multiply
    260,249.96x = 359,142 × 141,017.96
  4. Step 4: Simplify right side
    260,249.96x = 50,645,472,190.32
  5. Step 5: Solve for x
    x = 50,645,472,190.32/260,249.96
  6. Step 6: Final answer
    x = 194,603.19

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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.