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Finding the Fourth Proportional to 136,338.19, 204,509.41 and 42,843.94

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Solution

The fourth proportional to 136,338.19, 204,509.41 and 42,843.94 is: 64,266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,338.19 : 204,509.41 = 42,843.94 : x
  2. Step 2: Convert to fraction form
    136,338.19/204,509.41 = 42,843.94/x
  3. Step 3: Cross multiply
    136,338.19x = 204,509.41 × 42,843.94
  4. Step 4: Simplify right side
    136,338.19x = 8,761,988,273.09
  5. Step 5: Solve for x
    x = 8,761,988,273.09/136,338.19
  6. Step 6: Final answer
    x = 64,266.57

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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.