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Finding the Fourth Proportional to 155,297.80, 233,121.90 and 102,809.80

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Solution

The fourth proportional to 155,297.80, 233,121.90 and 102,809.80 is: 154,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,297.80 : 233,121.90 = 102,809.80 : x
  2. Step 2: Convert to fraction form
    155,297.80/233,121.90 = 102,809.80/x
  3. Step 3: Cross multiply
    155,297.80x = 233,121.90 × 102,809.80
  4. Step 4: Simplify right side
    155,297.80x = 23,967,215,914.62
  5. Step 5: Solve for x
    x = 23,967,215,914.62/155,297.80
  6. Step 6: Final answer
    x = 154,330.69

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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.