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Finding the Fourth Proportional to 312,172.33, 430,797.81 and 168,932.36

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Solution

The fourth proportional to 312,172.33, 430,797.81 and 168,932.36 is: 233,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,172.33 : 430,797.81 = 168,932.36 : x
  2. Step 2: Convert to fraction form
    312,172.33/430,797.81 = 168,932.36/x
  3. Step 3: Cross multiply
    312,172.33x = 430,797.81 × 168,932.36
  4. Step 4: Simplify right side
    312,172.33x = 72,775,690,726.13
  5. Step 5: Solve for x
    x = 72,775,690,726.13/312,172.33
  6. Step 6: Final answer
    x = 233,126.66

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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.