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Finding the Fourth Proportional to 126,157.40, 189,232 and 51,255.40

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Solution

The fourth proportional to 126,157.40, 189,232 and 51,255.40 is: 76,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,157.40 : 189,232 = 51,255.40 : x
  2. Step 2: Convert to fraction form
    126,157.40/189,232 = 51,255.40/x
  3. Step 3: Cross multiply
    126,157.40x = 189,232 × 51,255.40
  4. Step 4: Simplify right side
    126,157.40x = 9,699,161,852.80
  5. Step 5: Solve for x
    x = 9,699,161,852.80/126,157.40
  6. Step 6: Final answer
    x = 76,881.43

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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.