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Finding the Fourth Proportional to 177,803.20, 266,704.80 and 53,144.20

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Solution

The fourth proportional to 177,803.20, 266,704.80 and 53,144.20 is: 79,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,803.20 : 266,704.80 = 53,144.20 : x
  2. Step 2: Convert to fraction form
    177,803.20/266,704.80 = 53,144.20/x
  3. Step 3: Cross multiply
    177,803.20x = 266,704.80 × 53,144.20
  4. Step 4: Simplify right side
    177,803.20x = 14,173,813,232.16
  5. Step 5: Solve for x
    x = 14,173,813,232.16/177,803.20
  6. Step 6: Final answer
    x = 79,716.30

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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.