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Finding the Fourth Proportional to 260,888, 360,025.44 and 141,656

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Solution

The fourth proportional to 260,888, 360,025.44 and 141,656 is: 195,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,888 : 360,025.44 = 141,656 : x
  2. Step 2: Convert to fraction form
    260,888/360,025.44 = 141,656/x
  3. Step 3: Cross multiply
    260,888x = 360,025.44 × 141,656
  4. Step 4: Simplify right side
    260,888x = 50,999,763,728.64
  5. Step 5: Solve for x
    x = 50,999,763,728.64/260,888
  6. Step 6: Final answer
    x = 195,485.28

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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.