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Finding the Fourth Proportional to 229,443.57, 343,776.69 and 140,511.24

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Solution

The fourth proportional to 229,443.57, 343,776.69 and 140,511.24 is: 210,528.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,443.57 : 343,776.69 = 140,511.24 : x
  2. Step 2: Convert to fraction form
    229,443.57/343,776.69 = 140,511.24/x
  3. Step 3: Cross multiply
    229,443.57x = 343,776.69 × 140,511.24
  4. Step 4: Simplify right side
    229,443.57x = 48,304,488,995.00
  5. Step 5: Solve for x
    x = 48,304,488,995.00/229,443.57
  6. Step 6: Final answer
    x = 210,528.84

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