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Finding the Fourth Proportional to 264,350, 364,755.96 and 149,628.08

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Solution

The fourth proportional to 264,350, 364,755.96 and 149,628.08 is: 206,460.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,350 : 364,755.96 = 149,628.08 : x
  2. Step 2: Convert to fraction form
    264,350/364,755.96 = 149,628.08/x
  3. Step 3: Cross multiply
    264,350x = 364,755.96 × 149,628.08
  4. Step 4: Simplify right side
    264,350x = 54,577,733,963.36
  5. Step 5: Solve for x
    x = 54,577,733,963.36/264,350
  6. Step 6: Final answer
    x = 206,460.12

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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.