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Finding the Fourth Proportional to 163,814.37, 226,071.10 and 92,199.03

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Solution

The fourth proportional to 163,814.37, 226,071.10 and 92,199.03 is: 127,238.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,814.37 : 226,071.10 = 92,199.03 : x
  2. Step 2: Convert to fraction form
    163,814.37/226,071.10 = 92,199.03/x
  3. Step 3: Cross multiply
    163,814.37x = 226,071.10 × 92,199.03
  4. Step 4: Simplify right side
    163,814.37x = 20,843,536,131.03
  5. Step 5: Solve for x
    x = 20,843,536,131.03/163,814.37
  6. Step 6: Final answer
    x = 127,238.75

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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.