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Finding the Fourth Proportional to 161,564.64, 222,926.64 and 97,865.44

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Solution

The fourth proportional to 161,564.64, 222,926.64 and 97,865.44 is: 135,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,564.64 : 222,926.64 = 97,865.44 : x
  2. Step 2: Convert to fraction form
    161,564.64/222,926.64 = 97,865.44/x
  3. Step 3: Cross multiply
    161,564.64x = 222,926.64 × 97,865.44
  4. Step 4: Simplify right side
    161,564.64x = 21,816,813,711.32
  5. Step 5: Solve for x
    x = 21,816,813,711.32/161,564.64
  6. Step 6: Final answer
    x = 135,034.58

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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.