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Finding the Fourth Proportional to 160,459.28, 221,383.86 and 106,753.39

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Solution

The fourth proportional to 160,459.28, 221,383.86 and 106,753.39 is: 147,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,459.28 : 221,383.86 = 106,753.39 : x
  2. Step 2: Convert to fraction form
    160,459.28/221,383.86 = 106,753.39/x
  3. Step 3: Cross multiply
    160,459.28x = 221,383.86 × 106,753.39
  4. Step 4: Simplify right side
    160,459.28x = 23,633,478,138.03
  5. Step 5: Solve for x
    x = 23,633,478,138.03/160,459.28
  6. Step 6: Final answer
    x = 147,286.45

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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.