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Finding the Fourth Proportional to 260,668.22, 359,704.73 and 145,927.49

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Solution

The fourth proportional to 260,668.22, 359,704.73 and 145,927.49 is: 201,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,668.22 : 359,704.73 = 145,927.49 : x
  2. Step 2: Convert to fraction form
    260,668.22/359,704.73 = 145,927.49/x
  3. Step 3: Cross multiply
    260,668.22x = 359,704.73 × 145,927.49
  4. Step 4: Simplify right side
    260,668.22x = 52,490,805,861.87
  5. Step 5: Solve for x
    x = 52,490,805,861.87/260,668.22
  6. Step 6: Final answer
    x = 201,370.18

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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.