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Finding the Fourth Proportional to 103,455.40, 154,923.90 and 68,204.20

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Solution

The fourth proportional to 103,455.40, 154,923.90 and 68,204.20 is: 102,135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,455.40 : 154,923.90 = 68,204.20 : x
  2. Step 2: Convert to fraction form
    103,455.40/154,923.90 = 68,204.20/x
  3. Step 3: Cross multiply
    103,455.40x = 154,923.90 × 68,204.20
  4. Step 4: Simplify right side
    103,455.40x = 10,566,460,660.38
  5. Step 5: Solve for x
    x = 10,566,460,660.38/103,455.40
  6. Step 6: Final answer
    x = 102,135.42

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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.