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Finding the Fourth Proportional to 126,153.40, 189,015.96 and 76,128.40

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Solution

The fourth proportional to 126,153.40, 189,015.96 and 76,128.40 is: 114,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,153.40 : 189,015.96 = 76,128.40 : x
  2. Step 2: Convert to fraction form
    126,153.40/189,015.96 = 76,128.40/x
  3. Step 3: Cross multiply
    126,153.40x = 189,015.96 × 76,128.40
  4. Step 4: Simplify right side
    126,153.40x = 14,389,482,609.26
  5. Step 5: Solve for x
    x = 14,389,482,609.26/126,153.40
  6. Step 6: Final answer
    x = 114,063.38

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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.