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Finding the Fourth Proportional to 267,100.49, 368,584.65 and 146,218.65

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Solution

The fourth proportional to 267,100.49, 368,584.65 and 146,218.65 is: 201,774.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,100.49 : 368,584.65 = 146,218.65 : x
  2. Step 2: Convert to fraction form
    267,100.49/368,584.65 = 146,218.65/x
  3. Step 3: Cross multiply
    267,100.49x = 368,584.65 × 146,218.65
  4. Step 4: Simplify right side
    267,100.49x = 53,893,949,933.72
  5. Step 5: Solve for x
    x = 53,893,949,933.72/267,100.49
  6. Step 6: Final answer
    x = 201,774.06

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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.