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Finding the Fourth Proportional to 107,142.90, 147,778.62 and 76,959.24

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Solution

The fourth proportional to 107,142.90, 147,778.62 and 76,959.24 is: 106,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,142.90 : 147,778.62 = 76,959.24 : x
  2. Step 2: Convert to fraction form
    107,142.90/147,778.62 = 76,959.24/x
  3. Step 3: Cross multiply
    107,142.90x = 147,778.62 × 76,959.24
  4. Step 4: Simplify right side
    107,142.90x = 11,372,930,283.45
  5. Step 5: Solve for x
    x = 11,372,930,283.45/107,142.90
  6. Step 6: Final answer
    x = 106,147.31

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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.