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Finding the Fourth Proportional to 135,154.14, 186,493.65 and 77,771.64

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Solution

The fourth proportional to 135,154.14, 186,493.65 and 77,771.64 is: 107,313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,154.14 : 186,493.65 = 77,771.64 : x
  2. Step 2: Convert to fraction form
    135,154.14/186,493.65 = 77,771.64/x
  3. Step 3: Cross multiply
    135,154.14x = 186,493.65 × 77,771.64
  4. Step 4: Simplify right side
    135,154.14x = 14,503,917,010.09
  5. Step 5: Solve for x
    x = 14,503,917,010.09/135,154.14
  6. Step 6: Final answer
    x = 107,313.89

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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.