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Finding the Fourth Proportional to 474,103.24, 711,100.10 and 119,090.22

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Solution

The fourth proportional to 474,103.24, 711,100.10 and 119,090.22 is: 178,621.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,103.24 : 711,100.10 = 119,090.22 : x
  2. Step 2: Convert to fraction form
    474,103.24/711,100.10 = 119,090.22/x
  3. Step 3: Cross multiply
    474,103.24x = 711,100.10 × 119,090.22
  4. Step 4: Simplify right side
    474,103.24x = 84,685,067,351.02
  5. Step 5: Solve for x
    x = 84,685,067,351.02/474,103.24
  6. Step 6: Final answer
    x = 178,621.57

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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.