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Finding the Fourth Proportional to 127,576, 190,016.36 and 120,914.56

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Solution

The fourth proportional to 127,576, 190,016.36 and 120,914.56 is: 180,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,576 : 190,016.36 = 120,914.56 : x
  2. Step 2: Convert to fraction form
    127,576/190,016.36 = 120,914.56/x
  3. Step 3: Cross multiply
    127,576x = 190,016.36 × 120,914.56
  4. Step 4: Simplify right side
    127,576x = 22,975,744,562.20
  5. Step 5: Solve for x
    x = 22,975,744,562.20/127,576
  6. Step 6: Final answer
    x = 180,094.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.