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Finding the Fourth Proportional to 235,094.56, 352,296.04 and 138,932.80

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Solution

The fourth proportional to 235,094.56, 352,296.04 and 138,932.80 is: 208,194.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,094.56 : 352,296.04 = 138,932.80 : x
  2. Step 2: Convert to fraction form
    235,094.56/352,296.04 = 138,932.80/x
  3. Step 3: Cross multiply
    235,094.56x = 352,296.04 × 138,932.80
  4. Step 4: Simplify right side
    235,094.56x = 48,945,475,266.11
  5. Step 5: Solve for x
    x = 48,945,475,266.11/235,094.56
  6. Step 6: Final answer
    x = 208,194.84

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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.