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Finding the Fourth Proportional to 192,228.50, 288,145.91 and 97,282.73

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Solution

The fourth proportional to 192,228.50, 288,145.91 and 97,282.73 is: 145,824.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,228.50 : 288,145.91 = 97,282.73 : x
  2. Step 2: Convert to fraction form
    192,228.50/288,145.91 = 97,282.73/x
  3. Step 3: Cross multiply
    192,228.50x = 288,145.91 × 97,282.73
  4. Step 4: Simplify right side
    192,228.50x = 28,031,618,835.99
  5. Step 5: Solve for x
    x = 28,031,618,835.99/192,228.50
  6. Step 6: Final answer
    x = 145,824.47

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1.5x scale

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.