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Finding the Fourth Proportional to 203,554.20, 305,332.08 and 85,142.50

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Solution

The fourth proportional to 203,554.20, 305,332.08 and 85,142.50 is: 127,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,554.20 : 305,332.08 = 85,142.50 : x
  2. Step 2: Convert to fraction form
    203,554.20/305,332.08 = 85,142.50/x
  3. Step 3: Cross multiply
    203,554.20x = 305,332.08 × 85,142.50
  4. Step 4: Simplify right side
    203,554.20x = 25,996,735,858.07
  5. Step 5: Solve for x
    x = 25,996,735,858.07/203,554.20
  6. Step 6: Final answer
    x = 127,714.07

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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.