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Finding the Fourth Proportional to 152,916.96, 229,375.44 and 47,744.94

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Solution

The fourth proportional to 152,916.96, 229,375.44 and 47,744.94 is: 71,617.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,916.96 : 229,375.44 = 47,744.94 : x
  2. Step 2: Convert to fraction form
    152,916.96/229,375.44 = 47,744.94/x
  3. Step 3: Cross multiply
    152,916.96x = 229,375.44 × 47,744.94
  4. Step 4: Simplify right side
    152,916.96x = 10,951,516,620.27
  5. Step 5: Solve for x
    x = 10,951,516,620.27/152,916.96
  6. Step 6: Final answer
    x = 71,617.41

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Why These Related Problems?

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