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Finding the Fourth Proportional to 100,214.81, 138,292.39 and 59,950.83

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Solution

The fourth proportional to 100,214.81, 138,292.39 and 59,950.83 is: 82,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,214.81 : 138,292.39 = 59,950.83 : x
  2. Step 2: Convert to fraction form
    100,214.81/138,292.39 = 59,950.83/x
  3. Step 3: Cross multiply
    100,214.81x = 138,292.39 × 59,950.83
  4. Step 4: Simplify right side
    100,214.81x = 8,290,743,563.18
  5. Step 5: Solve for x
    x = 8,290,743,563.18/100,214.81
  6. Step 6: Final answer
    x = 82,729.72

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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.