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Finding the Fourth Proportional to 194,866.86, 268,938.95 and 162,103.39

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Solution

The fourth proportional to 194,866.86, 268,938.95 and 162,103.39 is: 223,721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,866.86 : 268,938.95 = 162,103.39 : x
  2. Step 2: Convert to fraction form
    194,866.86/268,938.95 = 162,103.39/x
  3. Step 3: Cross multiply
    194,866.86x = 268,938.95 × 162,103.39
  4. Step 4: Simplify right side
    194,866.86x = 43,595,915,498.04
  5. Step 5: Solve for x
    x = 43,595,915,498.04/194,866.86
  6. Step 6: Final answer
    x = 223,721.55

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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.