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Finding the Fourth Proportional to 230,905.38, 318,654.84 and 128,927.40

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Solution

The fourth proportional to 230,905.38, 318,654.84 and 128,927.40 is: 177,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,905.38 : 318,654.84 = 128,927.40 : x
  2. Step 2: Convert to fraction form
    230,905.38/318,654.84 = 128,927.40/x
  3. Step 3: Cross multiply
    230,905.38x = 318,654.84 × 128,927.40
  4. Step 4: Simplify right side
    230,905.38x = 41,083,340,018.62
  5. Step 5: Solve for x
    x = 41,083,340,018.62/230,905.38
  6. Step 6: Final answer
    x = 177,922.84

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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.