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Finding the Fourth Proportional to 186,511.89, 279,850.52 and 97,744.29

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Solution

The fourth proportional to 186,511.89, 279,850.52 and 97,744.29 is: 146,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,511.89 : 279,850.52 = 97,744.29 : x
  2. Step 2: Convert to fraction form
    186,511.89/279,850.52 = 97,744.29/x
  3. Step 3: Cross multiply
    186,511.89x = 279,850.52 × 97,744.29
  4. Step 4: Simplify right side
    186,511.89x = 27,353,790,383.53
  5. Step 5: Solve for x
    x = 27,353,790,383.53/186,511.89
  6. Step 6: Final answer
    x = 146,659.77

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Why These Related Problems?

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