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Finding the Fourth Proportional to 270,041.90, 405,072.57 and 101,546.78

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Solution

The fourth proportional to 270,041.90, 405,072.57 and 101,546.78 is: 152,323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,041.90 : 405,072.57 = 101,546.78 : x
  2. Step 2: Convert to fraction form
    270,041.90/405,072.57 = 101,546.78/x
  3. Step 3: Cross multiply
    270,041.90x = 405,072.57 × 101,546.78
  4. Step 4: Simplify right side
    270,041.90x = 41,133,815,149.82
  5. Step 5: Solve for x
    x = 41,133,815,149.82/270,041.90
  6. Step 6: Final answer
    x = 152,323.83

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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.