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Finding the Fourth Proportional to 294,178.86, 440,851.13 and 123,216.44

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Solution

The fourth proportional to 294,178.86, 440,851.13 and 123,216.44 is: 184,649.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,178.86 : 440,851.13 = 123,216.44 : x
  2. Step 2: Convert to fraction form
    294,178.86/440,851.13 = 123,216.44/x
  3. Step 3: Cross multiply
    294,178.86x = 440,851.13 × 123,216.44
  4. Step 4: Simplify right side
    294,178.86x = 54,320,107,276.63
  5. Step 5: Solve for x
    x = 54,320,107,276.63/294,178.86
  6. Step 6: Final answer
    x = 184,649.93

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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.