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Finding the Fourth Proportional to 194,508, 268,421.04 and 105,084

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Solution

The fourth proportional to 194,508, 268,421.04 and 105,084 is: 145,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,508 : 268,421.04 = 105,084 : x
  2. Step 2: Convert to fraction form
    194,508/268,421.04 = 105,084/x
  3. Step 3: Cross multiply
    194,508x = 268,421.04 × 105,084
  4. Step 4: Simplify right side
    194,508x = 28,206,756,567.36
  5. Step 5: Solve for x
    x = 28,206,756,567.36/194,508
  6. Step 6: Final answer
    x = 145,015.92

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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.