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Finding the Fourth Proportional to 264,886, 365,542.68 and 145,654

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Solution

The fourth proportional to 264,886, 365,542.68 and 145,654 is: 201,002.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,886 : 365,542.68 = 145,654 : x
  2. Step 2: Convert to fraction form
    264,886/365,542.68 = 145,654/x
  3. Step 3: Cross multiply
    264,886x = 365,542.68 × 145,654
  4. Step 4: Simplify right side
    264,886x = 53,242,753,512.72
  5. Step 5: Solve for x
    x = 53,242,753,512.72/264,886
  6. Step 6: Final answer
    x = 201,002.52

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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.