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Finding the Fourth Proportional to 164,765.34, 227,374.65 and 92,167.38

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Solution

The fourth proportional to 164,765.34, 227,374.65 and 92,167.38 is: 127,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,765.34 : 227,374.65 = 92,167.38 : x
  2. Step 2: Convert to fraction form
    164,765.34/227,374.65 = 92,167.38/x
  3. Step 3: Cross multiply
    164,765.34x = 227,374.65 × 92,167.38
  4. Step 4: Simplify right side
    164,765.34x = 20,956,525,768.92
  5. Step 5: Solve for x
    x = 20,956,525,768.92/164,765.34
  6. Step 6: Final answer
    x = 127,190.13

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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.