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Finding the Fourth Proportional to 271,185.74, 406,780.98 and 71,534.48

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Solution

The fourth proportional to 271,185.74, 406,780.98 and 71,534.48 is: 107,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,185.74 : 406,780.98 = 71,534.48 : x
  2. Step 2: Convert to fraction form
    271,185.74/406,780.98 = 71,534.48/x
  3. Step 3: Cross multiply
    271,185.74x = 406,780.98 × 71,534.48
  4. Step 4: Simplify right side
    271,185.74x = 29,098,865,878.19
  5. Step 5: Solve for x
    x = 29,098,865,878.19/271,185.74
  6. Step 6: Final answer
    x = 107,302.35

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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.