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Finding the Fourth Proportional to 260,301.94, 359,243.18 and 158,334.44

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Solution

The fourth proportional to 260,301.94, 359,243.18 and 158,334.44 is: 218,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,301.94 : 359,243.18 = 158,334.44 : x
  2. Step 2: Convert to fraction form
    260,301.94/359,243.18 = 158,334.44/x
  3. Step 3: Cross multiply
    260,301.94x = 359,243.18 × 158,334.44
  4. Step 4: Simplify right side
    260,301.94x = 56,880,565,734.99
  5. Step 5: Solve for x
    x = 56,880,565,734.99/260,301.94
  6. Step 6: Final answer
    x = 218,517.64

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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.