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Finding the Fourth Proportional to 129,014.10, 178,008.30 and 75,268.44

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Solution

The fourth proportional to 129,014.10, 178,008.30 and 75,268.44 is: 103,852.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,014.10 : 178,008.30 = 75,268.44 : x
  2. Step 2: Convert to fraction form
    129,014.10/178,008.30 = 75,268.44/x
  3. Step 3: Cross multiply
    129,014.10x = 178,008.30 × 75,268.44
  4. Step 4: Simplify right side
    129,014.10x = 13,398,407,048.05
  5. Step 5: Solve for x
    x = 13,398,407,048.05/129,014.10
  6. Step 6: Final answer
    x = 103,852.27

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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.