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Finding the Fourth Proportional to 196,716.60, 295,658.10 and 171,055.80

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Solution

The fourth proportional to 196,716.60, 295,658.10 and 171,055.80 is: 257,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,716.60 : 295,658.10 = 171,055.80 : x
  2. Step 2: Convert to fraction form
    196,716.60/295,658.10 = 171,055.80/x
  3. Step 3: Cross multiply
    196,716.60x = 295,658.10 × 171,055.80
  4. Step 4: Simplify right side
    196,716.60x = 50,574,032,821.98
  5. Step 5: Solve for x
    x = 50,574,032,821.98/196,716.60
  6. Step 6: Final answer
    x = 257,090.82

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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.