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Finding the Fourth Proportional to 264,902.86, 365,701.40 and 204,337.54

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Solution

The fourth proportional to 264,902.86, 365,701.40 and 204,337.54 is: 282,090.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,902.86 : 365,701.40 = 204,337.54 : x
  2. Step 2: Convert to fraction form
    264,902.86/365,701.40 = 204,337.54/x
  3. Step 3: Cross multiply
    264,902.86x = 365,701.40 × 204,337.54
  4. Step 4: Simplify right side
    264,902.86x = 74,726,523,428.87
  5. Step 5: Solve for x
    x = 74,726,523,428.87/264,902.86
  6. Step 6: Final answer
    x = 282,090.29

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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.