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Finding the Fourth Proportional to 260,926.26, 360,078.24 and 147,749

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Solution

The fourth proportional to 260,926.26, 360,078.24 and 147,749 is: 203,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,926.26 : 360,078.24 = 147,749 : x
  2. Step 2: Convert to fraction form
    260,926.26/360,078.24 = 147,749/x
  3. Step 3: Cross multiply
    260,926.26x = 360,078.24 × 147,749
  4. Step 4: Simplify right side
    260,926.26x = 53,201,199,881.76
  5. Step 5: Solve for x
    x = 53,201,199,881.76/260,926.26
  6. Step 6: Final answer
    x = 203,893.62

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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.