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Finding the Fourth Proportional to 260,668.12, 359,721.78 and 141,436.12

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Solution

The fourth proportional to 260,668.12, 359,721.78 and 141,436.12 is: 195,181.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,668.12 : 359,721.78 = 141,436.12 : x
  2. Step 2: Convert to fraction form
    260,668.12/359,721.78 = 141,436.12/x
  3. Step 3: Cross multiply
    260,668.12x = 359,721.78 × 141,436.12
  4. Step 4: Simplify right side
    260,668.12x = 50,877,652,842.69
  5. Step 5: Solve for x
    x = 50,877,652,842.69/260,668.12
  6. Step 6: Final answer
    x = 195,181.72

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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.