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Finding the Fourth Proportional to 229,096.37, 343,506.44 and 102,713.76

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Solution

The fourth proportional to 229,096.37, 343,506.44 and 102,713.76 is: 154,008.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,096.37 : 343,506.44 = 102,713.76 : x
  2. Step 2: Convert to fraction form
    229,096.37/343,506.44 = 102,713.76/x
  3. Step 3: Cross multiply
    229,096.37x = 343,506.44 × 102,713.76
  4. Step 4: Simplify right side
    229,096.37x = 35,282,837,523.05
  5. Step 5: Solve for x
    x = 35,282,837,523.05/229,096.37
  6. Step 6: Final answer
    x = 154,008.72

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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.