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Finding the Fourth Proportional to 194,689, 268,670.82 and 105,265

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Solution

The fourth proportional to 194,689, 268,670.82 and 105,265 is: 145,265.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,689 : 268,670.82 = 105,265 : x
  2. Step 2: Convert to fraction form
    194,689/268,670.82 = 105,265/x
  3. Step 3: Cross multiply
    194,689x = 268,670.82 × 105,265
  4. Step 4: Simplify right side
    194,689x = 28,281,633,867.30
  5. Step 5: Solve for x
    x = 28,281,633,867.30/194,689
  6. Step 6: Final answer
    x = 145,265.70

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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.