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Finding the Fourth Proportional to 168,778.51, 233,015.41 and 105,202.42

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Solution

The fourth proportional to 168,778.51, 233,015.41 and 105,202.42 is: 145,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,778.51 : 233,015.41 = 105,202.42 : x
  2. Step 2: Convert to fraction form
    168,778.51/233,015.41 = 105,202.42/x
  3. Step 3: Cross multiply
    168,778.51x = 233,015.41 × 105,202.42
  4. Step 4: Simplify right side
    168,778.51x = 24,513,785,029.29
  5. Step 5: Solve for x
    x = 24,513,785,029.29/168,778.51
  6. Step 6: Final answer
    x = 145,242.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.