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Finding the Fourth Proportional to 106,340.32, 146,743.64 and 58,598.56

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Solution

The fourth proportional to 106,340.32, 146,743.64 and 58,598.56 is: 80,862.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,340.32 : 146,743.64 = 58,598.56 : x
  2. Step 2: Convert to fraction form
    106,340.32/146,743.64 = 58,598.56/x
  3. Step 3: Cross multiply
    106,340.32x = 146,743.64 × 58,598.56
  4. Step 4: Simplify right side
    106,340.32x = 8,598,965,993.16
  5. Step 5: Solve for x
    x = 8,598,965,993.16/106,340.32
  6. Step 6: Final answer
    x = 80,862.71

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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.