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Finding the Fourth Proportional to 194,612, 268,564.59 and 105,188

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Solution

The fourth proportional to 194,612, 268,564.59 and 105,188 is: 145,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,612 : 268,564.59 = 105,188 : x
  2. Step 2: Convert to fraction form
    194,612/268,564.59 = 105,188/x
  3. Step 3: Cross multiply
    194,612x = 268,564.59 × 105,188
  4. Step 4: Simplify right side
    194,612x = 28,249,772,092.92
  5. Step 5: Solve for x
    x = 28,249,772,092.92/194,612
  6. Step 6: Final answer
    x = 145,159.46

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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.