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Finding the Fourth Proportional to 267,382.28, 368,971.52 and 146,499.50

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Solution

The fourth proportional to 267,382.28, 368,971.52 and 146,499.50 is: 202,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,382.28 : 368,971.52 = 146,499.50 : x
  2. Step 2: Convert to fraction form
    267,382.28/368,971.52 = 146,499.50/x
  3. Step 3: Cross multiply
    267,382.28x = 368,971.52 × 146,499.50
  4. Step 4: Simplify right side
    267,382.28x = 54,054,143,194.24
  5. Step 5: Solve for x
    x = 54,054,143,194.24/267,382.28
  6. Step 6: Final answer
    x = 202,160.53

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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.