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Finding the Fourth Proportional to 106,060.38, 146,359.58 and 58,313.36

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Solution

The fourth proportional to 106,060.38, 146,359.58 and 58,313.36 is: 80,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060.38 : 146,359.58 = 58,313.36 : x
  2. Step 2: Convert to fraction form
    106,060.38/146,359.58 = 58,313.36/x
  3. Step 3: Cross multiply
    106,060.38x = 146,359.58 × 58,313.36
  4. Step 4: Simplify right side
    106,060.38x = 8,534,718,329.14
  5. Step 5: Solve for x
    x = 8,534,718,329.14/106,060.38
  6. Step 6: Final answer
    x = 80,470.37

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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.