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Finding the Fourth Proportional to 106,284.32, 146,679 and 58,537.65

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Solution

The fourth proportional to 106,284.32, 146,679 and 58,537.65 is: 80,785.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284.32 : 146,679 = 58,537.65 : x
  2. Step 2: Convert to fraction form
    106,284.32/146,679 = 58,537.65/x
  3. Step 3: Cross multiply
    106,284.32x = 146,679 × 58,537.65
  4. Step 4: Simplify right side
    106,284.32x = 8,586,243,964.35
  5. Step 5: Solve for x
    x = 8,586,243,964.35/106,284.32
  6. Step 6: Final answer
    x = 80,785.62

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