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Finding the Fourth Proportional to 656,682.56, 985,024 and 158,046.56

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Solution

The fourth proportional to 656,682.56, 985,024 and 158,046.56 is: 237,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,682.56 : 985,024 = 158,046.56 : x
  2. Step 2: Convert to fraction form
    656,682.56/985,024 = 158,046.56/x
  3. Step 3: Cross multiply
    656,682.56x = 985,024 × 158,046.56
  4. Step 4: Simplify right side
    656,682.56x = 155,679,654,717.44
  5. Step 5: Solve for x
    x = 155,679,654,717.44/656,682.56
  6. Step 6: Final answer
    x = 237,069.88

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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.