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Finding the Fourth Proportional to 103,463.46, 155,223.81 and 41,177.70

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Solution

The fourth proportional to 103,463.46, 155,223.81 and 41,177.70 is: 61,777.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,463.46 : 155,223.81 = 41,177.70 : x
  2. Step 2: Convert to fraction form
    103,463.46/155,223.81 = 41,177.70/x
  3. Step 3: Cross multiply
    103,463.46x = 155,223.81 × 41,177.70
  4. Step 4: Simplify right side
    103,463.46x = 6,391,759,481.04
  5. Step 5: Solve for x
    x = 6,391,759,481.04/103,463.46
  6. Step 6: Final answer
    x = 61,777.94

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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.