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Finding the Fourth Proportional to 264,911.14, 365,566.25 and 150,197.50

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Solution

The fourth proportional to 264,911.14, 365,566.25 and 150,197.50 is: 207,266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,911.14 : 365,566.25 = 150,197.50 : x
  2. Step 2: Convert to fraction form
    264,911.14/365,566.25 = 150,197.50/x
  3. Step 3: Cross multiply
    264,911.14x = 365,566.25 × 150,197.50
  4. Step 4: Simplify right side
    264,911.14x = 54,907,137,666.83
  5. Step 5: Solve for x
    x = 54,907,137,666.83/264,911.14
  6. Step 6: Final answer
    x = 207,266.25

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