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Finding the Fourth Proportional to 267,097.49, 368,580.53 and 146,215.64

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Solution

The fourth proportional to 267,097.49, 368,580.53 and 146,215.64 is: 201,769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,097.49 : 368,580.53 = 146,215.64 : x
  2. Step 2: Convert to fraction form
    267,097.49/368,580.53 = 146,215.64/x
  3. Step 3: Cross multiply
    267,097.49x = 368,580.53 × 146,215.64
  4. Step 4: Simplify right side
    267,097.49x = 53,892,235,511.51
  5. Step 5: Solve for x
    x = 53,892,235,511.51/267,097.49
  6. Step 6: Final answer
    x = 201,769.91

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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.