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Finding the Fourth Proportional to 194,356.92, 268,053.95 and 163,191.86

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Solution

The fourth proportional to 194,356.92, 268,053.95 and 163,191.86 is: 225,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,356.92 : 268,053.95 = 163,191.86 : x
  2. Step 2: Convert to fraction form
    194,356.92/268,053.95 = 163,191.86/x
  3. Step 3: Cross multiply
    194,356.92x = 268,053.95 × 163,191.86
  4. Step 4: Simplify right side
    194,356.92x = 43,744,222,680.85
  5. Step 5: Solve for x
    x = 43,744,222,680.85/194,356.92
  6. Step 6: Final answer
    x = 225,071.60

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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.