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Finding the Fourth Proportional to 177,805.20, 266,746.20 and 53,158.80

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Solution

The fourth proportional to 177,805.20, 266,746.20 and 53,158.80 is: 79,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,805.20 : 266,746.20 = 53,158.80 : x
  2. Step 2: Convert to fraction form
    177,805.20/266,746.20 = 53,158.80/x
  3. Step 3: Cross multiply
    177,805.20x = 266,746.20 × 53,158.80
  4. Step 4: Simplify right side
    177,805.20x = 14,179,907,896.56
  5. Step 5: Solve for x
    x = 14,179,907,896.56/177,805.20
  6. Step 6: Final answer
    x = 79,749.68

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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.