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Finding the Fourth Proportional to 264,041, 364,399.62 and 144,832.04

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Solution

The fourth proportional to 264,041, 364,399.62 and 144,832.04 is: 199,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,041 : 364,399.62 = 144,832.04 : x
  2. Step 2: Convert to fraction form
    264,041/364,399.62 = 144,832.04/x
  3. Step 3: Cross multiply
    264,041x = 364,399.62 × 144,832.04
  4. Step 4: Simplify right side
    264,041x = 52,776,740,339.82
  5. Step 5: Solve for x
    x = 52,776,740,339.82/264,041
  6. Step 6: Final answer
    x = 199,880.85

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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.