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Finding the Fourth Proportional to 106,532.72, 147,018.34 and 58,789.14

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Solution

The fourth proportional to 106,532.72, 147,018.34 and 58,789.14 is: 81,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532.72 : 147,018.34 = 58,789.14 : x
  2. Step 2: Convert to fraction form
    106,532.72/147,018.34 = 58,789.14/x
  3. Step 3: Cross multiply
    106,532.72x = 147,018.34 × 58,789.14
  4. Step 4: Simplify right side
    106,532.72x = 8,643,082,121.97
  5. Step 5: Solve for x
    x = 8,643,082,121.97/106,532.72
  6. Step 6: Final answer
    x = 81,130.78

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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.