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Finding the Fourth Proportional to 106,269.38, 146,649.51 and 58,523.12

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Solution

The fourth proportional to 106,269.38, 146,649.51 and 58,523.12 is: 80,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,269.38 : 146,649.51 = 58,523.12 : x
  2. Step 2: Convert to fraction form
    106,269.38/146,649.51 = 58,523.12/x
  3. Step 3: Cross multiply
    106,269.38x = 146,649.51 × 58,523.12
  4. Step 4: Simplify right side
    106,269.38x = 8,582,386,138.42
  5. Step 5: Solve for x
    x = 8,582,386,138.42/106,269.38
  6. Step 6: Final answer
    x = 80,760.67

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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.