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Finding the Fourth Proportional to 141,123.40, 194,752.50 and 77,467

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Solution

The fourth proportional to 141,123.40, 194,752.50 and 77,467 is: 106,905.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,123.40 : 194,752.50 = 77,467 : x
  2. Step 2: Convert to fraction form
    141,123.40/194,752.50 = 77,467/x
  3. Step 3: Cross multiply
    141,123.40x = 194,752.50 × 77,467
  4. Step 4: Simplify right side
    141,123.40x = 15,086,891,917.50
  5. Step 5: Solve for x
    x = 15,086,891,917.50/141,123.40
  6. Step 6: Final answer
    x = 106,905.67

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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.