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Finding the Fourth Proportional to 196,594.80, 271,291.88 and 120,241.77

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Solution

The fourth proportional to 196,594.80, 271,291.88 and 120,241.77 is: 165,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,594.80 : 271,291.88 = 120,241.77 : x
  2. Step 2: Convert to fraction form
    196,594.80/271,291.88 = 120,241.77/x
  3. Step 3: Cross multiply
    196,594.80x = 271,291.88 × 120,241.77
  4. Step 4: Simplify right side
    196,594.80x = 32,620,615,837.83
  5. Step 5: Solve for x
    x = 32,620,615,837.83/196,594.80
  6. Step 6: Final answer
    x = 165,928.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.