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Finding the Fourth Proportional to 164,112.12, 226,487.16 and 92,498.88

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Solution

The fourth proportional to 164,112.12, 226,487.16 and 92,498.88 is: 127,655.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,112.12 : 226,487.16 = 92,498.88 : x
  2. Step 2: Convert to fraction form
    164,112.12/226,487.16 = 92,498.88/x
  3. Step 3: Cross multiply
    164,112.12x = 226,487.16 × 92,498.88
  4. Step 4: Simplify right side
    164,112.12x = 20,949,808,634.38
  5. Step 5: Solve for x
    x = 20,949,808,634.38/164,112.12
  6. Step 6: Final answer
    x = 127,655.46

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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.