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Finding the Fourth Proportional to 106,425.88, 146,868.32 and 58,678.40

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Solution

The fourth proportional to 106,425.88, 146,868.32 and 58,678.40 is: 80,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,425.88 : 146,868.32 = 58,678.40 : x
  2. Step 2: Convert to fraction form
    106,425.88/146,868.32 = 58,678.40/x
  3. Step 3: Cross multiply
    106,425.88x = 146,868.32 × 58,678.40
  4. Step 4: Simplify right side
    106,425.88x = 8,617,998,028.29
  5. Step 5: Solve for x
    x = 8,617,998,028.29/106,425.88
  6. Step 6: Final answer
    x = 80,976.53

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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.