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Finding the Fourth Proportional to 260,741.22, 359,823.03 and 141,509.22

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Solution

The fourth proportional to 260,741.22, 359,823.03 and 141,509.22 is: 195,282.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,741.22 : 359,823.03 = 141,509.22 : x
  2. Step 2: Convert to fraction form
    260,741.22/359,823.03 = 141,509.22/x
  3. Step 3: Cross multiply
    260,741.22x = 359,823.03 × 141,509.22
  4. Step 4: Simplify right side
    260,741.22x = 50,918,276,313.34
  5. Step 5: Solve for x
    x = 50,918,276,313.34/260,741.22
  6. Step 6: Final answer
    x = 195,282.80

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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.