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Finding the Fourth Proportional to 135,037.84, 186,341.46 and 78,452.92

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Solution

The fourth proportional to 135,037.84, 186,341.46 and 78,452.92 is: 108,258.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.84 : 186,341.46 = 78,452.92 : x
  2. Step 2: Convert to fraction form
    135,037.84/186,341.46 = 78,452.92/x
  3. Step 3: Cross multiply
    135,037.84x = 186,341.46 × 78,452.92
  4. Step 4: Simplify right side
    135,037.84x = 14,619,031,654.06
  5. Step 5: Solve for x
    x = 14,619,031,654.06/135,037.84
  6. Step 6: Final answer
    x = 108,258.78

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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.