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Finding the Fourth Proportional to 203,047.56, 304,238.43 and 143,776.82

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Solution

The fourth proportional to 203,047.56, 304,238.43 and 143,776.82 is: 215,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,047.56 : 304,238.43 = 143,776.82 : x
  2. Step 2: Convert to fraction form
    203,047.56/304,238.43 = 143,776.82/x
  3. Step 3: Cross multiply
    203,047.56x = 304,238.43 × 143,776.82
  4. Step 4: Simplify right side
    203,047.56x = 43,742,434,747.79
  5. Step 5: Solve for x
    x = 43,742,434,747.79/203,047.56
  6. Step 6: Final answer
    x = 215,429.50

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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.