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Finding the Fourth Proportional to 267,583.68, 369,269.64 and 146,736

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Solution

The fourth proportional to 267,583.68, 369,269.64 and 146,736 is: 202,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,583.68 : 369,269.64 = 146,736 : x
  2. Step 2: Convert to fraction form
    267,583.68/369,269.64 = 146,736/x
  3. Step 3: Cross multiply
    267,583.68x = 369,269.64 × 146,736
  4. Step 4: Simplify right side
    267,583.68x = 54,185,149,895.04
  5. Step 5: Solve for x
    x = 54,185,149,895.04/267,583.68
  6. Step 6: Final answer
    x = 202,497.96

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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.