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Finding the Fourth Proportional to 271,701.06, 407,021.40 and 177,922.50

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Solution

The fourth proportional to 271,701.06, 407,021.40 and 177,922.50 is: 266,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,701.06 : 407,021.40 = 177,922.50 : x
  2. Step 2: Convert to fraction form
    271,701.06/407,021.40 = 177,922.50/x
  3. Step 3: Cross multiply
    271,701.06x = 407,021.40 × 177,922.50
  4. Step 4: Simplify right side
    271,701.06x = 72,418,265,041.50
  5. Step 5: Solve for x
    x = 72,418,265,041.50/271,701.06
  6. Step 6: Final answer
    x = 266,536.56

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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.