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Finding the Fourth Proportional to 264,166.12, 364,542.96 and 146,289.79

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Solution

The fourth proportional to 264,166.12, 364,542.96 and 146,289.79 is: 201,876.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,166.12 : 364,542.96 = 146,289.79 : x
  2. Step 2: Convert to fraction form
    264,166.12/364,542.96 = 146,289.79/x
  3. Step 3: Cross multiply
    264,166.12x = 364,542.96 × 146,289.79
  4. Step 4: Simplify right side
    264,166.12x = 53,328,913,064.38
  5. Step 5: Solve for x
    x = 53,328,913,064.38/264,166.12
  6. Step 6: Final answer
    x = 201,876.43

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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.