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Finding the Fourth Proportional to 307,423.50, 424,244.43 and 166,111.50

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Solution

The fourth proportional to 307,423.50, 424,244.43 and 166,111.50 is: 229,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,423.50 : 424,244.43 = 166,111.50 : x
  2. Step 2: Convert to fraction form
    307,423.50/424,244.43 = 166,111.50/x
  3. Step 3: Cross multiply
    307,423.50x = 424,244.43 × 166,111.50
  4. Step 4: Simplify right side
    307,423.50x = 70,471,878,633.95
  5. Step 5: Solve for x
    x = 70,471,878,633.95/307,423.50
  6. Step 6: Final answer
    x = 229,233.87

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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.