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Finding the Fourth Proportional to 103,438.94, 142,745.86 and 58,116.90

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Solution

The fourth proportional to 103,438.94, 142,745.86 and 58,116.90 is: 80,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,438.94 : 142,745.86 = 58,116.90 : x
  2. Step 2: Convert to fraction form
    103,438.94/142,745.86 = 58,116.90/x
  3. Step 3: Cross multiply
    103,438.94x = 142,745.86 × 58,116.90
  4. Step 4: Simplify right side
    103,438.94x = 8,295,946,597.89
  5. Step 5: Solve for x
    x = 8,295,946,597.89/103,438.94
  6. Step 6: Final answer
    x = 80,201.39

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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.