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Finding the Fourth Proportional to 194,663, 268,635.58 and 105,239.64

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Solution

The fourth proportional to 194,663, 268,635.58 and 105,239.64 is: 145,231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,663 : 268,635.58 = 105,239.64 : x
  2. Step 2: Convert to fraction form
    194,663/268,635.58 = 105,239.64/x
  3. Step 3: Cross multiply
    194,663x = 268,635.58 × 105,239.64
  4. Step 4: Simplify right side
    194,663x = 28,271,111,730.39
  5. Step 5: Solve for x
    x = 28,271,111,730.39/194,663
  6. Step 6: Final answer
    x = 145,231.05

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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.