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Finding the Fourth Proportional to 165,087.27, 227,840.58 and 97,101

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Solution

The fourth proportional to 165,087.27, 227,840.58 and 97,101 is: 134,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,087.27 : 227,840.58 = 97,101 : x
  2. Step 2: Convert to fraction form
    165,087.27/227,840.58 = 97,101/x
  3. Step 3: Cross multiply
    165,087.27x = 227,840.58 × 97,101
  4. Step 4: Simplify right side
    165,087.27x = 22,123,548,158.58
  5. Step 5: Solve for x
    x = 22,123,548,158.58/165,087.27
  6. Step 6: Final answer
    x = 134,011.23

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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.