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Finding the Fourth Proportional to 273,221.17, 409,853.63 and 83,696.56

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Solution

The fourth proportional to 273,221.17, 409,853.63 and 83,696.56 is: 125,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,221.17 : 409,853.63 = 83,696.56 : x
  2. Step 2: Convert to fraction form
    273,221.17/409,853.63 = 83,696.56/x
  3. Step 3: Cross multiply
    273,221.17x = 409,853.63 × 83,696.56
  4. Step 4: Simplify right side
    273,221.17x = 34,303,338,934.51
  5. Step 5: Solve for x
    x = 34,303,338,934.51/273,221.17
  6. Step 6: Final answer
    x = 125,551.54

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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.