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Finding the Fourth Proportional to 164,225.62, 226,633.44 and 99,676.18

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Solution

The fourth proportional to 164,225.62, 226,633.44 and 99,676.18 is: 137,554.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,225.62 : 226,633.44 = 99,676.18 : x
  2. Step 2: Convert to fraction form
    164,225.62/226,633.44 = 99,676.18/x
  3. Step 3: Cross multiply
    164,225.62x = 226,633.44 × 99,676.18
  4. Step 4: Simplify right side
    164,225.62x = 22,589,955,559.46
  5. Step 5: Solve for x
    x = 22,589,955,559.46/164,225.62
  6. Step 6: Final answer
    x = 137,554.39

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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.