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Finding the Fourth Proportional to 145,022.48, 200,128 and 80,487.96

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Solution

The fourth proportional to 145,022.48, 200,128 and 80,487.96 is: 111,071.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,022.48 : 200,128 = 80,487.96 : x
  2. Step 2: Convert to fraction form
    145,022.48/200,128 = 80,487.96/x
  3. Step 3: Cross multiply
    145,022.48x = 200,128 × 80,487.96
  4. Step 4: Simplify right side
    145,022.48x = 16,107,894,458.88
  5. Step 5: Solve for x
    x = 16,107,894,458.88/145,022.48
  6. Step 6: Final answer
    x = 111,071.71

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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.