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Finding the Fourth Proportional to 270,506.33, 405,796.38 and 112,697.88

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Solution

The fourth proportional to 270,506.33, 405,796.38 and 112,697.88 is: 169,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,506.33 : 405,796.38 = 112,697.88 : x
  2. Step 2: Convert to fraction form
    270,506.33/405,796.38 = 112,697.88/x
  3. Step 3: Cross multiply
    270,506.33x = 405,796.38 × 112,697.88
  4. Step 4: Simplify right side
    270,506.33x = 45,732,391,737.67
  5. Step 5: Solve for x
    x = 45,732,391,737.67/270,506.33
  6. Step 6: Final answer
    x = 169,062.19

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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.