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Finding the Fourth Proportional to 299,354.81, 449,032.19 and 109,743.51

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Solution

The fourth proportional to 299,354.81, 449,032.19 and 109,743.51 is: 164,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,354.81 : 449,032.19 = 109,743.51 : x
  2. Step 2: Convert to fraction form
    299,354.81/449,032.19 = 109,743.51/x
  3. Step 3: Cross multiply
    299,354.81x = 449,032.19 × 109,743.51
  4. Step 4: Simplify right side
    299,354.81x = 49,278,365,980.03
  5. Step 5: Solve for x
    x = 49,278,365,980.03/299,354.81
  6. Step 6: Final answer
    x = 164,615.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.