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Finding the Fourth Proportional to 270,493.40, 405,740.10 and 120,733.40

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Solution

The fourth proportional to 270,493.40, 405,740.10 and 120,733.40 is: 181,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,493.40 : 405,740.10 = 120,733.40 : x
  2. Step 2: Convert to fraction form
    270,493.40/405,740.10 = 120,733.40/x
  3. Step 3: Cross multiply
    270,493.40x = 405,740.10 × 120,733.40
  4. Step 4: Simplify right side
    270,493.40x = 48,986,381,789.34
  5. Step 5: Solve for x
    x = 48,986,381,789.34/270,493.40
  6. Step 6: Final answer
    x = 181,100.10

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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.