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Finding the Fourth Proportional to 105,405.49, 158,119.32 and 34,333.67

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Solution

The fourth proportional to 105,405.49, 158,119.32 and 34,333.67 is: 51,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,405.49 : 158,119.32 = 34,333.67 : x
  2. Step 2: Convert to fraction form
    105,405.49/158,119.32 = 34,333.67/x
  3. Step 3: Cross multiply
    105,405.49x = 158,119.32 × 34,333.67
  4. Step 4: Simplify right side
    105,405.49x = 5,428,816,553.50
  5. Step 5: Solve for x
    x = 5,428,816,553.50/105,405.49
  6. Step 6: Final answer
    x = 51,504.12

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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.