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Finding the Fourth Proportional to 229,902.80, 344,850.18 and 103,453.55

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Solution

The fourth proportional to 229,902.80, 344,850.18 and 103,453.55 is: 155,178.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,902.80 : 344,850.18 = 103,453.55 : x
  2. Step 2: Convert to fraction form
    229,902.80/344,850.18 = 103,453.55/x
  3. Step 3: Cross multiply
    229,902.80x = 344,850.18 × 103,453.55
  4. Step 4: Simplify right side
    229,902.80x = 35,675,974,821.87
  5. Step 5: Solve for x
    x = 35,675,974,821.87/229,902.80
  6. Step 6: Final answer
    x = 155,178.51

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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.