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Finding the Fourth Proportional to 105,858.19, 158,753.82 and 34,769.11

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Solution

The fourth proportional to 105,858.19, 158,753.82 and 34,769.11 is: 52,142.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,858.19 : 158,753.82 = 34,769.11 : x
  2. Step 2: Convert to fraction form
    105,858.19/158,753.82 = 34,769.11/x
  3. Step 3: Cross multiply
    105,858.19x = 158,753.82 × 34,769.11
  4. Step 4: Simplify right side
    105,858.19x = 5,519,729,030.50
  5. Step 5: Solve for x
    x = 5,519,729,030.50/105,858.19
  6. Step 6: Final answer
    x = 52,142.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.