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Finding the Fourth Proportional to 273,549.80, 410,283.64 and 86,537

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Solution

The fourth proportional to 273,549.80, 410,283.64 and 86,537 is: 129,792.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,549.80 : 410,283.64 = 86,537 : x
  2. Step 2: Convert to fraction form
    273,549.80/410,283.64 = 86,537/x
  3. Step 3: Cross multiply
    273,549.80x = 410,283.64 × 86,537
  4. Step 4: Simplify right side
    273,549.80x = 35,504,715,354.68
  5. Step 5: Solve for x
    x = 35,504,715,354.68/273,549.80
  6. Step 6: Final answer
    x = 129,792.51

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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.