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Finding the Fourth Proportional to 164,028, 226,359.42 and 92,409.14

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Solution

The fourth proportional to 164,028, 226,359.42 and 92,409.14 is: 127,525.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,028 : 226,359.42 = 92,409.14 : x
  2. Step 2: Convert to fraction form
    164,028/226,359.42 = 92,409.14/x
  3. Step 3: Cross multiply
    164,028x = 226,359.42 × 92,409.14
  4. Step 4: Simplify right side
    164,028x = 20,917,679,333.10
  5. Step 5: Solve for x
    x = 20,917,679,333.10/164,028
  6. Step 6: Final answer
    x = 127,525.05

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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.