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Finding the Fourth Proportional to 147,764.44, 203,982.06 and 94,123

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Solution

The fourth proportional to 147,764.44, 203,982.06 and 94,123 is: 129,932.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764.44 : 203,982.06 = 94,123 : x
  2. Step 2: Convert to fraction form
    147,764.44/203,982.06 = 94,123/x
  3. Step 3: Cross multiply
    147,764.44x = 203,982.06 × 94,123
  4. Step 4: Simplify right side
    147,764.44x = 19,199,403,433.38
  5. Step 5: Solve for x
    x = 19,199,403,433.38/147,764.44
  6. Step 6: Final answer
    x = 129,932.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.