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Finding the Fourth Proportional to 264,946.88, 365,518.86 and 150,201.20

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Solution

The fourth proportional to 264,946.88, 365,518.86 and 150,201.20 is: 207,216.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,946.88 : 365,518.86 = 150,201.20 : x
  2. Step 2: Convert to fraction form
    264,946.88/365,518.86 = 150,201.20/x
  3. Step 3: Cross multiply
    264,946.88x = 365,518.86 × 150,201.20
  4. Step 4: Simplify right side
    264,946.88x = 54,901,371,394.63
  5. Step 5: Solve for x
    x = 54,901,371,394.63/264,946.88
  6. Step 6: Final answer
    x = 207,216.52

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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.