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Finding the Fourth Proportional to 138,945.80, 208,416.88 and 33,764.47

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Solution

The fourth proportional to 138,945.80, 208,416.88 and 33,764.47 is: 50,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,945.80 : 208,416.88 = 33,764.47 : x
  2. Step 2: Convert to fraction form
    138,945.80/208,416.88 = 33,764.47/x
  3. Step 3: Cross multiply
    138,945.80x = 208,416.88 × 33,764.47
  4. Step 4: Simplify right side
    138,945.80x = 7,037,084,281.35
  5. Step 5: Solve for x
    x = 7,037,084,281.35/138,945.80
  6. Step 6: Final answer
    x = 50,646.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.