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Finding the Fourth Proportional to 226,606.32, 340,001.64 and 145,644

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Solution

The fourth proportional to 226,606.32, 340,001.64 and 145,644 is: 218,525.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,606.32 : 340,001.64 = 145,644 : x
  2. Step 2: Convert to fraction form
    226,606.32/340,001.64 = 145,644/x
  3. Step 3: Cross multiply
    226,606.32x = 340,001.64 × 145,644
  4. Step 4: Simplify right side
    226,606.32x = 49,519,198,856.16
  5. Step 5: Solve for x
    x = 49,519,198,856.16/226,606.32
  6. Step 6: Final answer
    x = 218,525.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.