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Finding the Fourth Proportional to 271,293.48, 406,527.12 and 137,973.96

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Solution

The fourth proportional to 271,293.48, 406,527.12 and 137,973.96 is: 206,750.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,293.48 : 406,527.12 = 137,973.96 : x
  2. Step 2: Convert to fraction form
    271,293.48/406,527.12 = 137,973.96/x
  3. Step 3: Cross multiply
    271,293.48x = 406,527.12 × 137,973.96
  4. Step 4: Simplify right side
    271,293.48x = 56,090,156,593.80
  5. Step 5: Solve for x
    x = 56,090,156,593.80/271,293.48
  6. Step 6: Final answer
    x = 206,750.85

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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.