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Finding the Fourth Proportional to 164,525.80, 230,861 and 164,525.80

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Solution

The fourth proportional to 164,525.80, 230,861 and 164,525.80 is: 230,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,525.80 : 230,861 = 164,525.80 : x
  2. Step 2: Convert to fraction form
    164,525.80/230,861 = 164,525.80/x
  3. Step 3: Cross multiply
    164,525.80x = 230,861 × 164,525.80
  4. Step 4: Simplify right side
    164,525.80x = 37,982,590,713.80
  5. Step 5: Solve for x
    x = 37,982,590,713.80/164,525.80
  6. Step 6: Final answer
    x = 230,861

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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.