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Finding the Fourth Proportional to 227,918.70, 341,878.05 and 109,820.70

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Solution

The fourth proportional to 227,918.70, 341,878.05 and 109,820.70 is: 164,731.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,918.70 : 341,878.05 = 109,820.70 : x
  2. Step 2: Convert to fraction form
    227,918.70/341,878.05 = 109,820.70/x
  3. Step 3: Cross multiply
    227,918.70x = 341,878.05 × 109,820.70
  4. Step 4: Simplify right side
    227,918.70x = 37,545,286,765.64
  5. Step 5: Solve for x
    x = 37,545,286,765.64/227,918.70
  6. Step 6: Final answer
    x = 164,731.05

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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.