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Finding the Fourth Proportional to 177,471.20, 266,279.70 and 65,205.20

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Solution

The fourth proportional to 177,471.20, 266,279.70 and 65,205.20 is: 97,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,471.20 : 266,279.70 = 65,205.20 : x
  2. Step 2: Convert to fraction form
    177,471.20/266,279.70 = 65,205.20/x
  3. Step 3: Cross multiply
    177,471.20x = 266,279.70 × 65,205.20
  4. Step 4: Simplify right side
    177,471.20x = 17,362,821,094.44
  5. Step 5: Solve for x
    x = 17,362,821,094.44/177,471.20
  6. Step 6: Final answer
    x = 97,834.58

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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.