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Finding the Fourth Proportional to 192,282.56, 288,604.75 and 97,580.72

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Solution

The fourth proportional to 192,282.56, 288,604.75 and 97,580.72 is: 146,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,282.56 : 288,604.75 = 97,580.72 : x
  2. Step 2: Convert to fraction form
    192,282.56/288,604.75 = 97,580.72/x
  3. Step 3: Cross multiply
    192,282.56x = 288,604.75 × 97,580.72
  4. Step 4: Simplify right side
    192,282.56x = 28,162,259,300.42
  5. Step 5: Solve for x
    x = 28,162,259,300.42/192,282.56
  6. Step 6: Final answer
    x = 146,462.89

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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.