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Finding the Fourth Proportional to 106,346.84, 146,757.02 and 61,023.82

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Solution

The fourth proportional to 106,346.84, 146,757.02 and 61,023.82 is: 84,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,346.84 : 146,757.02 = 61,023.82 : x
  2. Step 2: Convert to fraction form
    106,346.84/146,757.02 = 61,023.82/x
  3. Step 3: Cross multiply
    106,346.84x = 146,757.02 × 61,023.82
  4. Step 4: Simplify right side
    106,346.84x = 8,955,673,972.22
  5. Step 5: Solve for x
    x = 8,955,673,972.22/106,346.84
  6. Step 6: Final answer
    x = 84,211.94

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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.