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Finding the Fourth Proportional to 135,037.50, 186,351.75 and 75,421.50

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Solution

The fourth proportional to 135,037.50, 186,351.75 and 75,421.50 is: 104,081.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,037.50 : 186,351.75 = 75,421.50 : x
  2. Step 2: Convert to fraction form
    135,037.50/186,351.75 = 75,421.50/x
  3. Step 3: Cross multiply
    135,037.50x = 186,351.75 × 75,421.50
  4. Step 4: Simplify right side
    135,037.50x = 14,054,928,512.63
  5. Step 5: Solve for x
    x = 14,054,928,512.63/135,037.50
  6. Step 6: Final answer
    x = 104,081.67

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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.