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Finding the Fourth Proportional to 194,426.20, 268,308.10 and 105,002.20

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Solution

The fourth proportional to 194,426.20, 268,308.10 and 105,002.20 is: 144,903.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,426.20 : 268,308.10 = 105,002.20 : x
  2. Step 2: Convert to fraction form
    194,426.20/268,308.10 = 105,002.20/x
  3. Step 3: Cross multiply
    194,426.20x = 268,308.10 × 105,002.20
  4. Step 4: Simplify right side
    194,426.20x = 28,172,940,777.82
  5. Step 5: Solve for x
    x = 28,172,940,777.82/194,426.20
  6. Step 6: Final answer
    x = 144,903.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.