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Finding the Fourth Proportional to 226,202, 312,171.72 and 125,606.48

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Solution

The fourth proportional to 226,202, 312,171.72 and 125,606.48 is: 173,344.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,202 : 312,171.72 = 125,606.48 : x
  2. Step 2: Convert to fraction form
    226,202/312,171.72 = 125,606.48/x
  3. Step 3: Cross multiply
    226,202x = 312,171.72 × 125,606.48
  4. Step 4: Simplify right side
    226,202x = 39,210,790,904.75
  5. Step 5: Solve for x
    x = 39,210,790,904.75/226,202
  6. Step 6: Final answer
    x = 173,344.14

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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.