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Finding the Fourth Proportional to 138,911.20, 194,242.40 and 138,911.20

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Solution

The fourth proportional to 138,911.20, 194,242.40 and 138,911.20 is: 194,242.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.20 : 194,242.40 = 138,911.20 : x
  2. Step 2: Convert to fraction form
    138,911.20/194,242.40 = 138,911.20/x
  3. Step 3: Cross multiply
    138,911.20x = 194,242.40 × 138,911.20
  4. Step 4: Simplify right side
    138,911.20x = 26,982,444,874.88
  5. Step 5: Solve for x
    x = 26,982,444,874.88/138,911.20
  6. Step 6: Final answer
    x = 194,242.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.