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Finding the Fourth Proportional to 270,610.76, 405,796.14 and 144,227.45

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Solution

The fourth proportional to 270,610.76, 405,796.14 and 144,227.45 is: 216,277.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,610.76 : 405,796.14 = 144,227.45 : x
  2. Step 2: Convert to fraction form
    270,610.76/405,796.14 = 144,227.45/x
  3. Step 3: Cross multiply
    270,610.76x = 405,796.14 × 144,227.45
  4. Step 4: Simplify right side
    270,610.76x = 58,526,942,492.04
  5. Step 5: Solve for x
    x = 58,526,942,492.04/270,610.76
  6. Step 6: Final answer
    x = 216,277.22

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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.