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Finding the Fourth Proportional to 185,322.34, 255,744.78 and 100,439.42

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Solution

The fourth proportional to 185,322.34, 255,744.78 and 100,439.42 is: 138,606.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,322.34 : 255,744.78 = 100,439.42 : x
  2. Step 2: Convert to fraction form
    185,322.34/255,744.78 = 100,439.42/x
  3. Step 3: Cross multiply
    185,322.34x = 255,744.78 × 100,439.42
  4. Step 4: Simplify right side
    185,322.34x = 25,686,857,371.23
  5. Step 5: Solve for x
    x = 25,686,857,371.23/185,322.34
  6. Step 6: Final answer
    x = 138,606.37

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