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Finding the Fourth Proportional to 192,670.82, 289,089.26 and 80,373.14

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Solution

The fourth proportional to 192,670.82, 289,089.26 and 80,373.14 is: 120,594.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,670.82 : 289,089.26 = 80,373.14 : x
  2. Step 2: Convert to fraction form
    192,670.82/289,089.26 = 80,373.14/x
  3. Step 3: Cross multiply
    192,670.82x = 289,089.26 × 80,373.14
  4. Step 4: Simplify right side
    192,670.82x = 23,235,011,566.48
  5. Step 5: Solve for x
    x = 23,235,011,566.48/192,670.82
  6. Step 6: Final answer
    x = 120,594.35

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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.