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Finding the Fourth Proportional to 171,844.12, 257,662.62 and 77,057.14

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Solution

The fourth proportional to 171,844.12, 257,662.62 and 77,057.14 is: 115,539.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,844.12 : 257,662.62 = 77,057.14 : x
  2. Step 2: Convert to fraction form
    171,844.12/257,662.62 = 77,057.14/x
  3. Step 3: Cross multiply
    171,844.12x = 257,662.62 × 77,057.14
  4. Step 4: Simplify right side
    171,844.12x = 19,854,744,582.11
  5. Step 5: Solve for x
    x = 19,854,744,582.11/171,844.12
  6. Step 6: Final answer
    x = 115,539.27

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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.