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Finding the Fourth Proportional to 164,206, 226,606.26 and 99,656.56

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Solution

The fourth proportional to 164,206, 226,606.26 and 99,656.56 is: 137,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,206 : 226,606.26 = 99,656.56 : x
  2. Step 2: Convert to fraction form
    164,206/226,606.26 = 99,656.56/x
  3. Step 3: Cross multiply
    164,206x = 226,606.26 × 99,656.56
  4. Step 4: Simplify right side
    164,206x = 22,582,800,346.07
  5. Step 5: Solve for x
    x = 22,582,800,346.07/164,206
  6. Step 6: Final answer
    x = 137,527.25

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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.