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Finding the Fourth Proportional to 100,220.41, 138,315.81 and 57,780.46

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Solution

The fourth proportional to 100,220.41, 138,315.81 and 57,780.46 is: 79,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,220.41 : 138,315.81 = 57,780.46 : x
  2. Step 2: Convert to fraction form
    100,220.41/138,315.81 = 57,780.46/x
  3. Step 3: Cross multiply
    100,220.41x = 138,315.81 × 57,780.46
  4. Step 4: Simplify right side
    100,220.41x = 7,991,951,127.07
  5. Step 5: Solve for x
    x = 7,991,951,127.07/100,220.41
  6. Step 6: Final answer
    x = 79,743.75

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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.