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Finding the Fourth Proportional to 271,693.59, 407,407.86 and 82,117.41

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Solution

The fourth proportional to 271,693.59, 407,407.86 and 82,117.41 is: 123,136.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,693.59 : 407,407.86 = 82,117.41 : x
  2. Step 2: Convert to fraction form
    271,693.59/407,407.86 = 82,117.41/x
  3. Step 3: Cross multiply
    271,693.59x = 407,407.86 × 82,117.41
  4. Step 4: Simplify right side
    271,693.59x = 33,455,278,276.84
  5. Step 5: Solve for x
    x = 33,455,278,276.84/271,693.59
  6. Step 6: Final answer
    x = 123,136.06

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1.5x scale

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.