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Finding the Fourth Proportional to 106,323.58, 146,733.18 and 58,576.93

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Solution

The fourth proportional to 106,323.58, 146,733.18 and 58,576.93 is: 80,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,323.58 : 146,733.18 = 58,576.93 : x
  2. Step 2: Convert to fraction form
    106,323.58/146,733.18 = 58,576.93/x
  3. Step 3: Cross multiply
    106,323.58x = 146,733.18 × 58,576.93
  4. Step 4: Simplify right side
    106,323.58x = 8,595,179,213.54
  5. Step 5: Solve for x
    x = 8,595,179,213.54/106,323.58
  6. Step 6: Final answer
    x = 80,839.82

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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.