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Finding the Fourth Proportional to 116,193, 160,346.34 and 63,201

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Solution

The fourth proportional to 116,193, 160,346.34 and 63,201 is: 87,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,193 : 160,346.34 = 63,201 : x
  2. Step 2: Convert to fraction form
    116,193/160,346.34 = 63,201/x
  3. Step 3: Cross multiply
    116,193x = 160,346.34 × 63,201
  4. Step 4: Simplify right side
    116,193x = 10,134,049,034.34
  5. Step 5: Solve for x
    x = 10,134,049,034.34/116,193
  6. Step 6: Final answer
    x = 87,217.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.