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Finding the Fourth Proportional to 165,071.88, 227,726.10 and 97,965

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Solution

The fourth proportional to 165,071.88, 227,726.10 and 97,965 is: 135,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,071.88 : 227,726.10 = 97,965 : x
  2. Step 2: Convert to fraction form
    165,071.88/227,726.10 = 97,965/x
  3. Step 3: Cross multiply
    165,071.88x = 227,726.10 × 97,965
  4. Step 4: Simplify right side
    165,071.88x = 22,309,187,386.50
  5. Step 5: Solve for x
    x = 22,309,187,386.50/165,071.88
  6. Step 6: Final answer
    x = 135,148.32

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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.