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Finding the Fourth Proportional to 190,509.84, 262,918.44 and 105,643.44

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Solution

The fourth proportional to 190,509.84, 262,918.44 and 105,643.44 is: 145,796.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,509.84 : 262,918.44 = 105,643.44 : x
  2. Step 2: Convert to fraction form
    190,509.84/262,918.44 = 105,643.44/x
  3. Step 3: Cross multiply
    190,509.84x = 262,918.44 × 105,643.44
  4. Step 4: Simplify right side
    190,509.84x = 27,775,608,441.03
  5. Step 5: Solve for x
    x = 27,775,608,441.03/190,509.84
  6. Step 6: Final answer
    x = 145,796.19

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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.