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Finding the Fourth Proportional to 260,862.29, 359,989.16 and 144,583.18

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Solution

The fourth proportional to 260,862.29, 359,989.16 and 144,583.18 is: 199,524.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,862.29 : 359,989.16 = 144,583.18 : x
  2. Step 2: Convert to fraction form
    260,862.29/359,989.16 = 144,583.18/x
  3. Step 3: Cross multiply
    260,862.29x = 359,989.16 × 144,583.18
  4. Step 4: Simplify right side
    260,862.29x = 52,048,377,191.09
  5. Step 5: Solve for x
    x = 52,048,377,191.09/260,862.29
  6. Step 6: Final answer
    x = 199,524.34

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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.