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Finding the Fourth Proportional to 204,379.63, 282,363.85 and 156,150.38

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Solution

The fourth proportional to 204,379.63, 282,363.85 and 156,150.38 is: 215,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,379.63 : 282,363.85 = 156,150.38 : x
  2. Step 2: Convert to fraction form
    204,379.63/282,363.85 = 156,150.38/x
  3. Step 3: Cross multiply
    204,379.63x = 282,363.85 × 156,150.38
  4. Step 4: Simplify right side
    204,379.63x = 44,091,222,475.76
  5. Step 5: Solve for x
    x = 44,091,222,475.76/204,379.63
  6. Step 6: Final answer
    x = 215,731.98

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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.