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Finding the Fourth Proportional to 116,428.34, 174,501.36 and 82,641.21

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Solution

The fourth proportional to 116,428.34, 174,501.36 and 82,641.21 is: 123,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,428.34 : 174,501.36 = 82,641.21 : x
  2. Step 2: Convert to fraction form
    116,428.34/174,501.36 = 82,641.21/x
  3. Step 3: Cross multiply
    116,428.34x = 174,501.36 × 82,641.21
  4. Step 4: Simplify right side
    116,428.34x = 14,421,003,537.05
  5. Step 5: Solve for x
    x = 14,421,003,537.05/116,428.34
  6. Step 6: Final answer
    x = 123,861.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.