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Finding the Fourth Proportional to 100,228.52, 138,315.06 and 57,786.68

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Solution

The fourth proportional to 100,228.52, 138,315.06 and 57,786.68 is: 79,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,228.52 : 138,315.06 = 57,786.68 : x
  2. Step 2: Convert to fraction form
    100,228.52/138,315.06 = 57,786.68/x
  3. Step 3: Cross multiply
    100,228.52x = 138,315.06 × 57,786.68
  4. Step 4: Simplify right side
    100,228.52x = 7,992,768,111.40
  5. Step 5: Solve for x
    x = 7,992,768,111.40/100,228.52
  6. Step 6: Final answer
    x = 79,745.45

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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.