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Finding the Fourth Proportional to 204,735.72, 282,543.96 and 114,091.72

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Solution

The fourth proportional to 204,735.72, 282,543.96 and 114,091.72 is: 157,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735.72 : 282,543.96 = 114,091.72 : x
  2. Step 2: Convert to fraction form
    204,735.72/282,543.96 = 114,091.72/x
  3. Step 3: Cross multiply
    204,735.72x = 282,543.96 × 114,091.72
  4. Step 4: Simplify right side
    204,735.72x = 32,235,926,372.01
  5. Step 5: Solve for x
    x = 32,235,926,372.01/204,735.72
  6. Step 6: Final answer
    x = 157,451.40

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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.