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Finding the Fourth Proportional to 164,563.65, 230,700.15 and 164,563.65

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Solution

The fourth proportional to 164,563.65, 230,700.15 and 164,563.65 is: 230,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,563.65 : 230,700.15 = 164,563.65 : x
  2. Step 2: Convert to fraction form
    164,563.65/230,700.15 = 164,563.65/x
  3. Step 3: Cross multiply
    164,563.65x = 230,700.15 × 164,563.65
  4. Step 4: Simplify right side
    164,563.65x = 37,964,858,739.55
  5. Step 5: Solve for x
    x = 37,964,858,739.55/164,563.65
  6. Step 6: Final answer
    x = 230,700.15

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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.