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Finding the Fourth Proportional to 136,435.24, 204,780.84 and 83,947.24

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Solution

The fourth proportional to 136,435.24, 204,780.84 and 83,947.24 is: 125,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,435.24 : 204,780.84 = 83,947.24 : x
  2. Step 2: Convert to fraction form
    136,435.24/204,780.84 = 83,947.24/x
  3. Step 3: Cross multiply
    136,435.24x = 204,780.84 × 83,947.24
  4. Step 4: Simplify right side
    136,435.24x = 17,190,786,322.88
  5. Step 5: Solve for x
    x = 17,190,786,322.88/136,435.24
  6. Step 6: Final answer
    x = 125,999.60

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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.