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Finding the Fourth Proportional to 185,321.34, 255,743.40 and 100,438.41

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Solution

The fourth proportional to 185,321.34, 255,743.40 and 100,438.41 is: 138,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,321.34 : 255,743.40 = 100,438.41 : x
  2. Step 2: Convert to fraction form
    185,321.34/255,743.40 = 100,438.41/x
  3. Step 3: Cross multiply
    185,321.34x = 255,743.40 × 100,438.41
  4. Step 4: Simplify right side
    185,321.34x = 25,686,460,463.99
  5. Step 5: Solve for x
    x = 25,686,460,463.99/185,321.34
  6. Step 6: Final answer
    x = 138,604.98

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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.