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Finding the Fourth Proportional to 226,122.51, 312,053.94 and 129,335.21

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Solution

The fourth proportional to 226,122.51, 312,053.94 and 129,335.21 is: 178,485.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,122.51 : 312,053.94 = 129,335.21 : x
  2. Step 2: Convert to fraction form
    226,122.51/312,053.94 = 129,335.21/x
  3. Step 3: Cross multiply
    226,122.51x = 312,053.94 × 129,335.21
  4. Step 4: Simplify right side
    226,122.51x = 40,359,561,861.23
  5. Step 5: Solve for x
    x = 40,359,561,861.23/226,122.51
  6. Step 6: Final answer
    x = 178,485.38

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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.