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Finding the Fourth Proportional to 281,723.60, 423,022.80 and 163,625.60

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Solution

The fourth proportional to 281,723.60, 423,022.80 and 163,625.60 is: 245,692.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,723.60 : 423,022.80 = 163,625.60 : x
  2. Step 2: Convert to fraction form
    281,723.60/423,022.80 = 163,625.60/x
  3. Step 3: Cross multiply
    281,723.60x = 423,022.80 × 163,625.60
  4. Step 4: Simplify right side
    281,723.60x = 69,217,359,463.68
  5. Step 5: Solve for x
    x = 69,217,359,463.68/281,723.60
  6. Step 6: Final answer
    x = 245,692.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.