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Finding the Fourth Proportional to 189,063.44, 260,906.48 and 103,022.16

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Solution

The fourth proportional to 189,063.44, 260,906.48 and 103,022.16 is: 142,170.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,063.44 : 260,906.48 = 103,022.16 : x
  2. Step 2: Convert to fraction form
    189,063.44/260,906.48 = 103,022.16/x
  3. Step 3: Cross multiply
    189,063.44x = 260,906.48 × 103,022.16
  4. Step 4: Simplify right side
    189,063.44x = 26,879,149,127.60
  5. Step 5: Solve for x
    x = 26,879,149,127.60/189,063.44
  6. Step 6: Final answer
    x = 142,170.00

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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.