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Finding the Fourth Proportional to 273,237.68, 409,857.54 and 83,697.28

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Solution

The fourth proportional to 273,237.68, 409,857.54 and 83,697.28 is: 125,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237.68 : 409,857.54 = 83,697.28 : x
  2. Step 2: Convert to fraction form
    273,237.68/409,857.54 = 83,697.28/x
  3. Step 3: Cross multiply
    273,237.68x = 409,857.54 × 83,697.28
  4. Step 4: Simplify right side
    273,237.68x = 34,303,961,285.49
  5. Step 5: Solve for x
    x = 34,303,961,285.49/273,237.68
  6. Step 6: Final answer
    x = 125,546.23

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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.