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Finding the Fourth Proportional to 239,106.33, 329,867.69 and 142,290.78

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Solution

The fourth proportional to 239,106.33, 329,867.69 and 142,290.78 is: 196,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,106.33 : 329,867.69 = 142,290.78 : x
  2. Step 2: Convert to fraction form
    239,106.33/329,867.69 = 142,290.78/x
  3. Step 3: Cross multiply
    239,106.33x = 329,867.69 × 142,290.78
  4. Step 4: Simplify right side
    239,106.33x = 46,937,130,195.44
  5. Step 5: Solve for x
    x = 46,937,130,195.44/239,106.33
  6. Step 6: Final answer
    x = 196,302.33

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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.