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Finding the Fourth Proportional to 100,167.14, 138,237.32 and 57,728.41

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Solution

The fourth proportional to 100,167.14, 138,237.32 and 57,728.41 is: 79,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,167.14 : 138,237.32 = 57,728.41 : x
  2. Step 2: Convert to fraction form
    100,167.14/138,237.32 = 57,728.41/x
  3. Step 3: Cross multiply
    100,167.14x = 138,237.32 × 57,728.41
  4. Step 4: Simplify right side
    100,167.14x = 7,980,220,686.26
  5. Step 5: Solve for x
    x = 7,980,220,686.26/100,167.14
  6. Step 6: Final answer
    x = 79,669.05

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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.