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Finding the Fourth Proportional to 229,589.11, 316,830.90 and 127,611.96

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Solution

The fourth proportional to 229,589.11, 316,830.90 and 127,611.96 is: 176,103.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,589.11 : 316,830.90 = 127,611.96 : x
  2. Step 2: Convert to fraction form
    229,589.11/316,830.90 = 127,611.96/x
  3. Step 3: Cross multiply
    229,589.11x = 316,830.90 × 127,611.96
  4. Step 4: Simplify right side
    229,589.11x = 40,431,412,137.56
  5. Step 5: Solve for x
    x = 40,431,412,137.56/229,589.11
  6. Step 6: Final answer
    x = 176,103.35

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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.