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Finding the Fourth Proportional to 120,321.06, 180,659.03 and 67,117.01

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Solution

The fourth proportional to 120,321.06, 180,659.03 and 67,117.01 is: 100,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,321.06 : 180,659.03 = 67,117.01 : x
  2. Step 2: Convert to fraction form
    120,321.06/180,659.03 = 67,117.01/x
  3. Step 3: Cross multiply
    120,321.06x = 180,659.03 × 67,117.01
  4. Step 4: Simplify right side
    120,321.06x = 12,125,292,684.22
  5. Step 5: Solve for x
    x = 12,125,292,684.22/120,321.06
  6. Step 6: Final answer
    x = 100,774.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.