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Finding the Fourth Proportional to 106,305.68, 146,696.48 and 58,558

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Solution

The fourth proportional to 106,305.68, 146,696.48 and 58,558 is: 80,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,305.68 : 146,696.48 = 58,558 : x
  2. Step 2: Convert to fraction form
    106,305.68/146,696.48 = 58,558/x
  3. Step 3: Cross multiply
    106,305.68x = 146,696.48 × 58,558
  4. Step 4: Simplify right side
    106,305.68x = 8,590,252,475.84
  5. Step 5: Solve for x
    x = 8,590,252,475.84/106,305.68
  6. Step 6: Final answer
    x = 80,807.09

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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.