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Finding the Fourth Proportional to 306,705.89, 460,100.76 and 106,996.34

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Solution

The fourth proportional to 306,705.89, 460,100.76 and 106,996.34 is: 160,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,705.89 : 460,100.76 = 106,996.34 : x
  2. Step 2: Convert to fraction form
    306,705.89/460,100.76 = 106,996.34/x
  3. Step 3: Cross multiply
    306,705.89x = 460,100.76 × 106,996.34
  4. Step 4: Simplify right side
    306,705.89x = 49,229,098,100.23
  5. Step 5: Solve for x
    x = 49,229,098,100.23/306,705.89
  6. Step 6: Final answer
    x = 160,509.14

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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.