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Finding the Fourth Proportional to 171,841.11, 257,658.12 and 77,054.14

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Solution

The fourth proportional to 171,841.11, 257,658.12 and 77,054.14 is: 115,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,841.11 : 257,658.12 = 77,054.14 : x
  2. Step 2: Convert to fraction form
    171,841.11/257,658.12 = 77,054.14/x
  3. Step 3: Cross multiply
    171,841.11x = 257,658.12 × 77,054.14
  4. Step 4: Simplify right side
    171,841.11x = 19,853,624,850.62
  5. Step 5: Solve for x
    x = 19,853,624,850.62/171,841.11
  6. Step 6: Final answer
    x = 115,534.78

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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.