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Finding the Fourth Proportional to 103,206.69, 142,317.27 and 76,405.41

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Solution

The fourth proportional to 103,206.69, 142,317.27 and 76,405.41 is: 105,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,206.69 : 142,317.27 = 76,405.41 : x
  2. Step 2: Convert to fraction form
    103,206.69/142,317.27 = 76,405.41/x
  3. Step 3: Cross multiply
    103,206.69x = 142,317.27 × 76,405.41
  4. Step 4: Simplify right side
    103,206.69x = 10,873,809,364.43
  5. Step 5: Solve for x
    x = 10,873,809,364.43/103,206.69
  6. Step 6: Final answer
    x = 105,359.54

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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.