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Finding the Fourth Proportional to 145,171.30, 200,331.21 and 81,511.78

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Solution

The fourth proportional to 145,171.30, 200,331.21 and 81,511.78 is: 112,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,171.30 : 200,331.21 = 81,511.78 : x
  2. Step 2: Convert to fraction form
    145,171.30/200,331.21 = 81,511.78/x
  3. Step 3: Cross multiply
    145,171.30x = 200,331.21 × 81,511.78
  4. Step 4: Simplify right side
    145,171.30x = 16,329,353,516.65
  5. Step 5: Solve for x
    x = 16,329,353,516.65/145,171.30
  6. Step 6: Final answer
    x = 112,483.35

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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.