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Finding the Fourth Proportional to 268,674.64, 370,770.96 and 147,813.31

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Solution

The fourth proportional to 268,674.64, 370,770.96 and 147,813.31 is: 203,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,674.64 : 370,770.96 = 147,813.31 : x
  2. Step 2: Convert to fraction form
    268,674.64/370,770.96 = 147,813.31/x
  3. Step 3: Cross multiply
    268,674.64x = 370,770.96 × 147,813.31
  4. Step 4: Simplify right side
    268,674.64x = 54,804,882,849.48
  5. Step 5: Solve for x
    x = 54,804,882,849.48/268,674.64
  6. Step 6: Final answer
    x = 203,982.34

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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.