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Finding the Fourth Proportional to 363,686.86, 545,517.54 and 110,957.14

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Solution

The fourth proportional to 363,686.86, 545,517.54 and 110,957.14 is: 166,431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,686.86 : 545,517.54 = 110,957.14 : x
  2. Step 2: Convert to fraction form
    363,686.86/545,517.54 = 110,957.14/x
  3. Step 3: Cross multiply
    363,686.86x = 545,517.54 × 110,957.14
  4. Step 4: Simplify right side
    363,686.86x = 60,529,066,058.24
  5. Step 5: Solve for x
    x = 60,529,066,058.24/363,686.86
  6. Step 6: Final answer
    x = 166,431.82

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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.