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Finding the Fourth Proportional to 106,011.67, 146,289.91 and 58,265.06

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Solution

The fourth proportional to 106,011.67, 146,289.91 and 58,265.06 is: 80,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,011.67 : 146,289.91 = 58,265.06 : x
  2. Step 2: Convert to fraction form
    106,011.67/146,289.91 = 58,265.06/x
  3. Step 3: Cross multiply
    106,011.67x = 146,289.91 × 58,265.06
  4. Step 4: Simplify right side
    106,011.67x = 8,523,590,383.54
  5. Step 5: Solve for x
    x = 8,523,590,383.54/106,011.67
  6. Step 6: Final answer
    x = 80,402.38

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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.