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Finding the Fourth Proportional to 145,789.96, 201,189 and 82,148.28

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Solution

The fourth proportional to 145,789.96, 201,189 and 82,148.28 is: 113,363.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,789.96 : 201,189 = 82,148.28 : x
  2. Step 2: Convert to fraction form
    145,789.96/201,189 = 82,148.28/x
  3. Step 3: Cross multiply
    145,789.96x = 201,189 × 82,148.28
  4. Step 4: Simplify right side
    145,789.96x = 16,527,330,304.92
  5. Step 5: Solve for x
    x = 16,527,330,304.92/145,789.96
  6. Step 6: Final answer
    x = 113,363.98

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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.