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Finding the Fourth Proportional to 100,678.19, 138,936.15 and 57,658.37

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Solution

The fourth proportional to 100,678.19, 138,936.15 and 57,658.37 is: 79,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,678.19 : 138,936.15 = 57,658.37 : x
  2. Step 2: Convert to fraction form
    100,678.19/138,936.15 = 57,658.37/x
  3. Step 3: Cross multiply
    100,678.19x = 138,936.15 × 57,658.37
  4. Step 4: Simplify right side
    100,678.19x = 8,010,831,248.39
  5. Step 5: Solve for x
    x = 8,010,831,248.39/100,678.19
  6. Step 6: Final answer
    x = 79,568.69

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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.