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Finding the Fourth Proportional to 264,903.86, 365,702.78 and 204,338.54

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Solution

The fourth proportional to 264,903.86, 365,702.78 and 204,338.54 is: 282,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,903.86 : 365,702.78 = 204,338.54 : x
  2. Step 2: Convert to fraction form
    264,903.86/365,702.78 = 204,338.54/x
  3. Step 3: Cross multiply
    264,903.86x = 365,702.78 × 204,338.54
  4. Step 4: Simplify right side
    264,903.86x = 74,727,172,139.14
  5. Step 5: Solve for x
    x = 74,727,172,139.14/264,903.86
  6. Step 6: Final answer
    x = 282,091.67

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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.