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Finding the Fourth Proportional to 183,744.29, 275,509.14 and 71,293.17

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Solution

The fourth proportional to 183,744.29, 275,509.14 and 71,293.17 is: 106,898.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,744.29 : 275,509.14 = 71,293.17 : x
  2. Step 2: Convert to fraction form
    183,744.29/275,509.14 = 71,293.17/x
  3. Step 3: Cross multiply
    183,744.29x = 275,509.14 × 71,293.17
  4. Step 4: Simplify right side
    183,744.29x = 19,641,919,954.57
  5. Step 5: Solve for x
    x = 19,641,919,954.57/183,744.29
  6. Step 6: Final answer
    x = 106,898.12

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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.