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Finding the Fourth Proportional to 270,089.34, 405,091.50 and 169,942.98

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Solution

The fourth proportional to 270,089.34, 405,091.50 and 169,942.98 is: 254,887.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,089.34 : 405,091.50 = 169,942.98 : x
  2. Step 2: Convert to fraction form
    270,089.34/405,091.50 = 169,942.98/x
  3. Step 3: Cross multiply
    270,089.34x = 405,091.50 × 169,942.98
  4. Step 4: Simplify right side
    270,089.34x = 68,842,456,682.67
  5. Step 5: Solve for x
    x = 68,842,456,682.67/270,089.34
  6. Step 6: Final answer
    x = 254,887.72

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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.