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Finding the Fourth Proportional to 289,906.51, 399,952.87 and 194,443.96

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Solution

The fourth proportional to 289,906.51, 399,952.87 and 194,443.96 is: 268,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,906.51 : 399,952.87 = 194,443.96 : x
  2. Step 2: Convert to fraction form
    289,906.51/399,952.87 = 194,443.96/x
  3. Step 3: Cross multiply
    289,906.51x = 399,952.87 × 194,443.96
  4. Step 4: Simplify right side
    289,906.51x = 77,768,418,370.17
  5. Step 5: Solve for x
    x = 77,768,418,370.17/289,906.51
  6. Step 6: Final answer
    x = 268,253.44

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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.