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Finding the Fourth Proportional to 312,172, 430,797.36 and 168,932.04

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Solution

The fourth proportional to 312,172, 430,797.36 and 168,932.04 is: 233,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,172 : 430,797.36 = 168,932.04 : x
  2. Step 2: Convert to fraction form
    312,172/430,797.36 = 168,932.04/x
  3. Step 3: Cross multiply
    312,172x = 430,797.36 × 168,932.04
  4. Step 4: Simplify right side
    312,172x = 72,775,476,851.41
  5. Step 5: Solve for x
    x = 72,775,476,851.41/312,172
  6. Step 6: Final answer
    x = 233,126.22

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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.