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Finding the Fourth Proportional to 146,278.20, 201,853.44 and 85,851.30

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Solution

The fourth proportional to 146,278.20, 201,853.44 and 85,851.30 is: 118,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,278.20 : 201,853.44 = 85,851.30 : x
  2. Step 2: Convert to fraction form
    146,278.20/201,853.44 = 85,851.30/x
  3. Step 3: Cross multiply
    146,278.20x = 201,853.44 × 85,851.30
  4. Step 4: Simplify right side
    146,278.20x = 17,329,380,233.47
  5. Step 5: Solve for x
    x = 17,329,380,233.47/146,278.20
  6. Step 6: Final answer
    x = 118,468.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.