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Finding the Fourth Proportional to 264,781.12, 397,174.92 and 77,796.40

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Solution

The fourth proportional to 264,781.12, 397,174.92 and 77,796.40 is: 116,695.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,781.12 : 397,174.92 = 77,796.40 : x
  2. Step 2: Convert to fraction form
    264,781.12/397,174.92 = 77,796.40/x
  3. Step 3: Cross multiply
    264,781.12x = 397,174.92 × 77,796.40
  4. Step 4: Simplify right side
    264,781.12x = 30,898,778,946.29
  5. Step 5: Solve for x
    x = 30,898,778,946.29/264,781.12
  6. Step 6: Final answer
    x = 116,695.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.