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Finding the Fourth Proportional to 234,178.53, 350,984.91 and 114,055.44

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Solution

The fourth proportional to 234,178.53, 350,984.91 and 114,055.44 is: 170,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,178.53 : 350,984.91 = 114,055.44 : x
  2. Step 2: Convert to fraction form
    234,178.53/350,984.91 = 114,055.44/x
  3. Step 3: Cross multiply
    234,178.53x = 350,984.91 × 114,055.44
  4. Step 4: Simplify right side
    234,178.53x = 40,031,738,343.41
  5. Step 5: Solve for x
    x = 40,031,738,343.41/234,178.53
  6. Step 6: Final answer
    x = 170,945.38

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Why These Related Problems?

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