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Finding the Fourth Proportional to 165,051.84, 227,764.96 and 89,598.40

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Solution

The fourth proportional to 165,051.84, 227,764.96 and 89,598.40 is: 123,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,051.84 : 227,764.96 = 89,598.40 : x
  2. Step 2: Convert to fraction form
    165,051.84/227,764.96 = 89,598.40/x
  3. Step 3: Cross multiply
    165,051.84x = 227,764.96 × 89,598.40
  4. Step 4: Simplify right side
    165,051.84x = 20,407,375,992.06
  5. Step 5: Solve for x
    x = 20,407,375,992.06/165,051.84
  6. Step 6: Final answer
    x = 123,642.22

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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.