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Finding the Fourth Proportional to 245,041.96, 338,286.34 and 164,890.92

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Solution

The fourth proportional to 245,041.96, 338,286.34 and 164,890.92 is: 227,635.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,041.96 : 338,286.34 = 164,890.92 : x
  2. Step 2: Convert to fraction form
    245,041.96/338,286.34 = 164,890.92/x
  3. Step 3: Cross multiply
    245,041.96x = 338,286.34 × 164,890.92
  4. Step 4: Simplify right side
    245,041.96x = 55,780,345,826.03
  5. Step 5: Solve for x
    x = 55,780,345,826.03/245,041.96
  6. Step 6: Final answer
    x = 227,635.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.