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Finding the Fourth Proportional to 204,676.48, 282,474.30 and 114,047.20

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Solution

The fourth proportional to 204,676.48, 282,474.30 and 114,047.20 is: 157,396.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,676.48 : 282,474.30 = 114,047.20 : x
  2. Step 2: Convert to fraction form
    204,676.48/282,474.30 = 114,047.20/x
  3. Step 3: Cross multiply
    204,676.48x = 282,474.30 × 114,047.20
  4. Step 4: Simplify right side
    204,676.48x = 32,215,402,986.96
  5. Step 5: Solve for x
    x = 32,215,402,986.96/204,676.48
  6. Step 6: Final answer
    x = 157,396.70

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Why These Related Problems?

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