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Finding the Fourth Proportional to 138,752.58, 208,130.08 and 33,571.64

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Solution

The fourth proportional to 138,752.58, 208,130.08 and 33,571.64 is: 50,357.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,752.58 : 208,130.08 = 33,571.64 : x
  2. Step 2: Convert to fraction form
    138,752.58/208,130.08 = 33,571.64/x
  3. Step 3: Cross multiply
    138,752.58x = 208,130.08 × 33,571.64
  4. Step 4: Simplify right side
    138,752.58x = 6,987,268,118.93
  5. Step 5: Solve for x
    x = 6,987,268,118.93/138,752.58
  6. Step 6: Final answer
    x = 50,357.75

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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.