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Finding the Fourth Proportional to 328,202.33, 492,022.67 and 125,943.57

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Solution

The fourth proportional to 328,202.33, 492,022.67 and 125,943.57 is: 188,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,202.33 : 492,022.67 = 125,943.57 : x
  2. Step 2: Convert to fraction form
    328,202.33/492,022.67 = 125,943.57/x
  3. Step 3: Cross multiply
    328,202.33x = 492,022.67 × 125,943.57
  4. Step 4: Simplify right side
    328,202.33x = 61,967,090,951.01
  5. Step 5: Solve for x
    x = 61,967,090,951.01/328,202.33
  6. Step 6: Final answer
    x = 188,807.59

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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.