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Finding the Fourth Proportional to 123,518.86, 170,393.16 and 78,120.52

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Solution

The fourth proportional to 123,518.86, 170,393.16 and 78,120.52 is: 107,766.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,518.86 : 170,393.16 = 78,120.52 : x
  2. Step 2: Convert to fraction form
    123,518.86/170,393.16 = 78,120.52/x
  3. Step 3: Cross multiply
    123,518.86x = 170,393.16 × 78,120.52
  4. Step 4: Simplify right side
    123,518.86x = 13,311,202,263.64
  5. Step 5: Solve for x
    x = 13,311,202,263.64/123,518.86
  6. Step 6: Final answer
    x = 107,766.56

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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.