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Finding the Fourth Proportional to 144,873.72, 199,839.42 and 106,090.92

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Solution

The fourth proportional to 144,873.72, 199,839.42 and 106,090.92 is: 146,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,873.72 : 199,839.42 = 106,090.92 : x
  2. Step 2: Convert to fraction form
    144,873.72/199,839.42 = 106,090.92/x
  3. Step 3: Cross multiply
    144,873.72x = 199,839.42 × 106,090.92
  4. Step 4: Simplify right side
    144,873.72x = 21,201,147,920.07
  5. Step 5: Solve for x
    x = 21,201,147,920.07/144,873.72
  6. Step 6: Final answer
    x = 146,342.26

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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.