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Finding the Fourth Proportional to 106,412.88, 146,850.78 and 58,667.94

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Solution

The fourth proportional to 106,412.88, 146,850.78 and 58,667.94 is: 80,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,412.88 : 146,850.78 = 58,667.94 : x
  2. Step 2: Convert to fraction form
    106,412.88/146,850.78 = 58,667.94/x
  3. Step 3: Cross multiply
    106,412.88x = 146,850.78 × 58,667.94
  4. Step 4: Simplify right side
    106,412.88x = 8,615,432,749.99
  5. Step 5: Solve for x
    x = 8,615,432,749.99/106,412.88
  6. Step 6: Final answer
    x = 80,962.31

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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.