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Finding the Fourth Proportional to 103,902.80, 155,623.80 and 41,541.20

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Solution

The fourth proportional to 103,902.80, 155,623.80 and 41,541.20 is: 62,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,902.80 : 155,623.80 = 41,541.20 : x
  2. Step 2: Convert to fraction form
    103,902.80/155,623.80 = 41,541.20/x
  3. Step 3: Cross multiply
    103,902.80x = 155,623.80 × 41,541.20
  4. Step 4: Simplify right side
    103,902.80x = 6,464,799,400.56
  5. Step 5: Solve for x
    x = 6,464,799,400.56/103,902.80
  6. Step 6: Final answer
    x = 62,219.68

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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.