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Finding the Fourth Proportional to 260,842.37, 359,975.96 and 146,114.31

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Solution

The fourth proportional to 260,842.37, 359,975.96 and 146,114.31 is: 201,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,842.37 : 359,975.96 = 146,114.31 : x
  2. Step 2: Convert to fraction form
    260,842.37/359,975.96 = 146,114.31/x
  3. Step 3: Cross multiply
    260,842.37x = 359,975.96 × 146,114.31
  4. Step 4: Simplify right side
    260,842.37x = 52,597,638,281.42
  5. Step 5: Solve for x
    x = 52,597,638,281.42/260,842.37
  6. Step 6: Final answer
    x = 201,645.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.