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Finding the Fourth Proportional to 226,903.68, 312,802.56 and 166,367.52

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Solution

The fourth proportional to 226,903.68, 312,802.56 and 166,367.52 is: 229,349.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,903.68 : 312,802.56 = 166,367.52 : x
  2. Step 2: Convert to fraction form
    226,903.68/312,802.56 = 166,367.52/x
  3. Step 3: Cross multiply
    226,903.68x = 312,802.56 × 166,367.52
  4. Step 4: Simplify right side
    226,903.68x = 52,040,186,156.85
  5. Step 5: Solve for x
    x = 52,040,186,156.85/226,903.68
  6. Step 6: Final answer
    x = 229,349.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.