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Finding the Fourth Proportional to 135,383.86, 186,823.65 and 74,950.24

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Solution

The fourth proportional to 135,383.86, 186,823.65 and 74,950.24 is: 103,427.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,383.86 : 186,823.65 = 74,950.24 : x
  2. Step 2: Convert to fraction form
    135,383.86/186,823.65 = 74,950.24/x
  3. Step 3: Cross multiply
    135,383.86x = 186,823.65 × 74,950.24
  4. Step 4: Simplify right side
    135,383.86x = 14,002,477,405.18
  5. Step 5: Solve for x
    x = 14,002,477,405.18/135,383.86
  6. Step 6: Final answer
    x = 103,427.97

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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.