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Finding the Fourth Proportional to 316,192.68, 474,289.02 and 129,204

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Solution

The fourth proportional to 316,192.68, 474,289.02 and 129,204 is: 193,806

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,192.68 : 474,289.02 = 129,204 : x
  2. Step 2: Convert to fraction form
    316,192.68/474,289.02 = 129,204/x
  3. Step 3: Cross multiply
    316,192.68x = 474,289.02 × 129,204
  4. Step 4: Simplify right side
    316,192.68x = 61,280,038,540.08
  5. Step 5: Solve for x
    x = 61,280,038,540.08/316,192.68
  6. Step 6: Final answer
    x = 193,806

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.