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Finding the Fourth Proportional to 102,524.40, 141,273.72 and 75,624.30

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Solution

The fourth proportional to 102,524.40, 141,273.72 and 75,624.30 is: 104,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,524.40 : 141,273.72 = 75,624.30 : x
  2. Step 2: Convert to fraction form
    102,524.40/141,273.72 = 75,624.30/x
  3. Step 3: Cross multiply
    102,524.40x = 141,273.72 × 75,624.30
  4. Step 4: Simplify right side
    102,524.40x = 10,683,726,183.40
  5. Step 5: Solve for x
    x = 10,683,726,183.40/102,524.40
  6. Step 6: Final answer
    x = 104,206.67

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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.