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Finding the Fourth Proportional to 312,170.38, 430,795.12 and 168,930.42

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Solution

The fourth proportional to 312,170.38, 430,795.12 and 168,930.42 is: 233,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,170.38 : 430,795.12 = 168,930.42 : x
  2. Step 2: Convert to fraction form
    312,170.38/430,795.12 = 168,930.42/x
  3. Step 3: Cross multiply
    312,170.38x = 430,795.12 × 168,930.42
  4. Step 4: Simplify right side
    312,170.38x = 72,774,400,555.55
  5. Step 5: Solve for x
    x = 72,774,400,555.55/312,170.38
  6. Step 6: Final answer
    x = 233,123.98

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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.