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Finding the Fourth Proportional to 212,022.33, 292,578.45 and 116,529.11

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Solution

The fourth proportional to 212,022.33, 292,578.45 and 116,529.11 is: 160,803.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,022.33 : 292,578.45 = 116,529.11 : x
  2. Step 2: Convert to fraction form
    212,022.33/292,578.45 = 116,529.11/x
  3. Step 3: Cross multiply
    212,022.33x = 292,578.45 × 116,529.11
  4. Step 4: Simplify right side
    212,022.33x = 34,093,906,383.68
  5. Step 5: Solve for x
    x = 34,093,906,383.68/212,022.33
  6. Step 6: Final answer
    x = 160,803.38

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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.