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Finding the Fourth Proportional to 267,380.08, 368,984.86 and 146,525.78

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Solution

The fourth proportional to 267,380.08, 368,984.86 and 146,525.78 is: 202,205.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,380.08 : 368,984.86 = 146,525.78 : x
  2. Step 2: Convert to fraction form
    267,380.08/368,984.86 = 146,525.78/x
  3. Step 3: Cross multiply
    267,380.08x = 368,984.86 × 146,525.78
  4. Step 4: Simplify right side
    267,380.08x = 54,065,794,975.84
  5. Step 5: Solve for x
    x = 54,065,794,975.84/267,380.08
  6. Step 6: Final answer
    x = 202,205.77

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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.