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Finding the Fourth Proportional to 165,019.36, 227,726.84 and 89,567.84

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Solution

The fourth proportional to 165,019.36, 227,726.84 and 89,567.84 is: 123,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,019.36 : 227,726.84 = 89,567.84 : x
  2. Step 2: Convert to fraction form
    165,019.36/227,726.84 = 89,567.84/x
  3. Step 3: Cross multiply
    165,019.36x = 227,726.84 × 89,567.84
  4. Step 4: Simplify right side
    165,019.36x = 20,397,001,168.83
  5. Step 5: Solve for x
    x = 20,397,001,168.83/165,019.36
  6. Step 6: Final answer
    x = 123,603.69

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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.