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Finding the Fourth Proportional to 271,525.81, 406,758.93 and 177,747.25

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Solution

The fourth proportional to 271,525.81, 406,758.93 and 177,747.25 is: 266,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,525.81 : 406,758.93 = 177,747.25 : x
  2. Step 2: Convert to fraction form
    271,525.81/406,758.93 = 177,747.25/x
  3. Step 3: Cross multiply
    271,525.81x = 406,758.93 × 177,747.25
  4. Step 4: Simplify right side
    271,525.81x = 72,300,281,220.44
  5. Step 5: Solve for x
    x = 72,300,281,220.44/271,525.81
  6. Step 6: Final answer
    x = 266,274.07

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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.