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Finding the Fourth Proportional to 201,714.54, 302,573.43 and 68,625.06

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Solution

The fourth proportional to 201,714.54, 302,573.43 and 68,625.06 is: 102,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,714.54 : 302,573.43 = 68,625.06 : x
  2. Step 2: Convert to fraction form
    201,714.54/302,573.43 = 68,625.06/x
  3. Step 3: Cross multiply
    201,714.54x = 302,573.43 × 68,625.06
  4. Step 4: Simplify right side
    201,714.54x = 20,764,119,788.16
  5. Step 5: Solve for x
    x = 20,764,119,788.16/201,714.54
  6. Step 6: Final answer
    x = 102,938.14

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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.