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Finding the Fourth Proportional to 106,673.09, 147,213.32 and 61,351.09

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Solution

The fourth proportional to 106,673.09, 147,213.32 and 61,351.09 is: 84,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,673.09 : 147,213.32 = 61,351.09 : x
  2. Step 2: Convert to fraction form
    106,673.09/147,213.32 = 61,351.09/x
  3. Step 3: Cross multiply
    106,673.09x = 147,213.32 × 61,351.09
  4. Step 4: Simplify right side
    106,673.09x = 9,031,696,969.73
  5. Step 5: Solve for x
    x = 9,031,696,969.73/106,673.09
  6. Step 6: Final answer
    x = 84,667.06

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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.