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Finding the Fourth Proportional to 264,914.14, 365,570.40 and 150,200.50

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Solution

The fourth proportional to 264,914.14, 365,570.40 and 150,200.50 is: 207,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,914.14 : 365,570.40 = 150,200.50 : x
  2. Step 2: Convert to fraction form
    264,914.14/365,570.40 = 150,200.50/x
  3. Step 3: Cross multiply
    264,914.14x = 365,570.40 × 150,200.50
  4. Step 4: Simplify right side
    264,914.14x = 54,908,856,865.20
  5. Step 5: Solve for x
    x = 54,908,856,865.20/264,914.14
  6. Step 6: Final answer
    x = 207,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.