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Finding the Fourth Proportional to 264,158.82, 364,530.93 and 147,872.25

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Solution

The fourth proportional to 264,158.82, 364,530.93 and 147,872.25 is: 204,059.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,158.82 : 364,530.93 = 147,872.25 : x
  2. Step 2: Convert to fraction form
    264,158.82/364,530.93 = 147,872.25/x
  3. Step 3: Cross multiply
    264,158.82x = 364,530.93 × 147,872.25
  4. Step 4: Simplify right side
    264,158.82x = 53,904,008,813.69
  5. Step 5: Solve for x
    x = 53,904,008,813.69/264,158.82
  6. Step 6: Final answer
    x = 204,059.09

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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.