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Finding the Fourth Proportional to 273,237.19, 409,883.12 and 83,695.36

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Solution

The fourth proportional to 273,237.19, 409,883.12 and 83,695.36 is: 125,551.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237.19 : 409,883.12 = 83,695.36 : x
  2. Step 2: Convert to fraction form
    273,237.19/409,883.12 = 83,695.36/x
  3. Step 3: Cross multiply
    273,237.19x = 409,883.12 × 83,695.36
  4. Step 4: Simplify right side
    273,237.19x = 34,305,317,007.81
  5. Step 5: Solve for x
    x = 34,305,317,007.81/273,237.19
  6. Step 6: Final answer
    x = 125,551.42

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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.