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Finding the Fourth Proportional to 474,113.22, 711,115.08 and 119,100.24

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Solution

The fourth proportional to 474,113.22, 711,115.08 and 119,100.24 is: 178,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,113.22 : 711,115.08 = 119,100.24 : x
  2. Step 2: Convert to fraction form
    474,113.22/711,115.08 = 119,100.24/x
  3. Step 3: Cross multiply
    474,113.22x = 711,115.08 × 119,100.24
  4. Step 4: Simplify right side
    474,113.22x = 84,693,976,695.62
  5. Step 5: Solve for x
    x = 84,693,976,695.62/474,113.22
  6. Step 6: Final answer
    x = 178,636.61

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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.