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Finding the Fourth Proportional to 289,206.78, 399,093.75 and 161,894.94

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Solution

The fourth proportional to 289,206.78, 399,093.75 and 161,894.94 is: 223,408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,206.78 : 399,093.75 = 161,894.94 : x
  2. Step 2: Convert to fraction form
    289,206.78/399,093.75 = 161,894.94/x
  3. Step 3: Cross multiply
    289,206.78x = 399,093.75 × 161,894.94
  4. Step 4: Simplify right side
    289,206.78x = 64,611,258,710.63
  5. Step 5: Solve for x
    x = 64,611,258,710.63/289,206.78
  6. Step 6: Final answer
    x = 223,408.52

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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.