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Finding the Fourth Proportional to 260,773.81, 359,806.14 and 147,596.56

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Solution

The fourth proportional to 260,773.81, 359,806.14 and 147,596.56 is: 203,648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,773.81 : 359,806.14 = 147,596.56 : x
  2. Step 2: Convert to fraction form
    260,773.81/359,806.14 = 147,596.56/x
  3. Step 3: Cross multiply
    260,773.81x = 359,806.14 × 147,596.56
  4. Step 4: Simplify right side
    260,773.81x = 53,106,148,530.88
  5. Step 5: Solve for x
    x = 53,106,148,530.88/260,773.81
  6. Step 6: Final answer
    x = 203,648.32

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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.