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Finding the Fourth Proportional to 164,910.65, 231,574.75 and 164,910.65

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Solution

The fourth proportional to 164,910.65, 231,574.75 and 164,910.65 is: 231,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,910.65 : 231,574.75 = 164,910.65 : x
  2. Step 2: Convert to fraction form
    164,910.65/231,574.75 = 164,910.65/x
  3. Step 3: Cross multiply
    164,910.65x = 231,574.75 × 164,910.65
  4. Step 4: Simplify right side
    164,910.65x = 38,189,142,546.09
  5. Step 5: Solve for x
    x = 38,189,142,546.09/164,910.65
  6. Step 6: Final answer
    x = 231,574.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.