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Finding the Fourth Proportional to 164,046.30, 230,286.90 and 164,046.30

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Solution

The fourth proportional to 164,046.30, 230,286.90 and 164,046.30 is: 230,286.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,046.30 : 230,286.90 = 164,046.30 : x
  2. Step 2: Convert to fraction form
    164,046.30/230,286.90 = 164,046.30/x
  3. Step 3: Cross multiply
    164,046.30x = 230,286.90 × 164,046.30
  4. Step 4: Simplify right side
    164,046.30x = 37,777,713,883.47
  5. Step 5: Solve for x
    x = 37,777,713,883.47/164,046.30
  6. Step 6: Final answer
    x = 230,286.90

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1.5x scale

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.