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Finding the Fourth Proportional to 213,706.54, 320,559.81 and 55,948.51

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Solution

The fourth proportional to 213,706.54, 320,559.81 and 55,948.51 is: 83,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706.54 : 320,559.81 = 55,948.51 : x
  2. Step 2: Convert to fraction form
    213,706.54/320,559.81 = 55,948.51/x
  3. Step 3: Cross multiply
    213,706.54x = 320,559.81 × 55,948.51
  4. Step 4: Simplify right side
    213,706.54x = 17,934,843,735.38
  5. Step 5: Solve for x
    x = 17,934,843,735.38/213,706.54
  6. Step 6: Final answer
    x = 83,922.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.