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Finding the Fourth Proportional to 206,898.70, 310,348.05 and 112,420.30

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Solution

The fourth proportional to 206,898.70, 310,348.05 and 112,420.30 is: 168,630.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,898.70 : 310,348.05 = 112,420.30 : x
  2. Step 2: Convert to fraction form
    206,898.70/310,348.05 = 112,420.30/x
  3. Step 3: Cross multiply
    206,898.70x = 310,348.05 × 112,420.30
  4. Step 4: Simplify right side
    206,898.70x = 34,889,420,885.42
  5. Step 5: Solve for x
    x = 34,889,420,885.42/206,898.70
  6. Step 6: Final answer
    x = 168,630.45

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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.