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Finding the Fourth Proportional to 260,194.52, 359,028.78 and 146,975.96

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Solution

The fourth proportional to 260,194.52, 359,028.78 and 146,975.96 is: 202,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,194.52 : 359,028.78 = 146,975.96 : x
  2. Step 2: Convert to fraction form
    260,194.52/359,028.78 = 146,975.96/x
  3. Step 3: Cross multiply
    260,194.52x = 359,028.78 × 146,975.96
  4. Step 4: Simplify right side
    260,194.52x = 52,768,599,608.13
  5. Step 5: Solve for x
    x = 52,768,599,608.13/260,194.52
  6. Step 6: Final answer
    x = 202,804.42

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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.