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Finding the Fourth Proportional to 103,021.54, 142,173.22 and 57,701.42

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Solution

The fourth proportional to 103,021.54, 142,173.22 and 57,701.42 is: 79,629.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,021.54 : 142,173.22 = 57,701.42 : x
  2. Step 2: Convert to fraction form
    103,021.54/142,173.22 = 57,701.42/x
  3. Step 3: Cross multiply
    103,021.54x = 142,173.22 × 57,701.42
  4. Step 4: Simplify right side
    103,021.54x = 8,203,596,679.97
  5. Step 5: Solve for x
    x = 8,203,596,679.97/103,021.54
  6. Step 6: Final answer
    x = 79,629.92

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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.