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Finding the Fourth Proportional to 106,678.88, 147,216.24 and 58,932

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Solution

The fourth proportional to 106,678.88, 147,216.24 and 58,932 is: 81,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,678.88 : 147,216.24 = 58,932 : x
  2. Step 2: Convert to fraction form
    106,678.88/147,216.24 = 58,932/x
  3. Step 3: Cross multiply
    106,678.88x = 147,216.24 × 58,932
  4. Step 4: Simplify right side
    106,678.88x = 8,675,747,455.68
  5. Step 5: Solve for x
    x = 8,675,747,455.68/106,678.88
  6. Step 6: Final answer
    x = 81,325.82

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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.