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Finding the Fourth Proportional to 264,181.92, 364,571.01 and 151,007.10

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Solution

The fourth proportional to 264,181.92, 364,571.01 and 151,007.10 is: 208,389.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,181.92 : 364,571.01 = 151,007.10 : x
  2. Step 2: Convert to fraction form
    264,181.92/364,571.01 = 151,007.10/x
  3. Step 3: Cross multiply
    264,181.92x = 364,571.01 × 151,007.10
  4. Step 4: Simplify right side
    264,181.92x = 55,052,810,964.17
  5. Step 5: Solve for x
    x = 55,052,810,964.17/264,181.92
  6. Step 6: Final answer
    x = 208,389.78

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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.