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Finding the Fourth Proportional to 165,023, 227,712.80 and 92,415.76

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Solution

The fourth proportional to 165,023, 227,712.80 and 92,415.76 is: 127,523.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,023 : 227,712.80 = 92,415.76 : x
  2. Step 2: Convert to fraction form
    165,023/227,712.80 = 92,415.76/x
  3. Step 3: Cross multiply
    165,023x = 227,712.80 × 92,415.76
  4. Step 4: Simplify right side
    165,023x = 21,044,251,473.73
  5. Step 5: Solve for x
    x = 21,044,251,473.73/165,023
  6. Step 6: Final answer
    x = 127,523.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.