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Finding the Fourth Proportional to 138,671.94, 208,039.23 and 43,907.88

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Solution

The fourth proportional to 138,671.94, 208,039.23 and 43,907.88 is: 65,871.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671.94 : 208,039.23 = 43,907.88 : x
  2. Step 2: Convert to fraction form
    138,671.94/208,039.23 = 43,907.88/x
  3. Step 3: Cross multiply
    138,671.94x = 208,039.23 × 43,907.88
  4. Step 4: Simplify right side
    138,671.94x = 9,134,561,546.13
  5. Step 5: Solve for x
    x = 9,134,561,546.13/138,671.94
  6. Step 6: Final answer
    x = 65,871.74

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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.