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Finding the Fourth Proportional to 103,300.20, 154,658.70 and 100,384.20

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Solution

The fourth proportional to 103,300.20, 154,658.70 and 100,384.20 is: 150,292.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,300.20 : 154,658.70 = 100,384.20 : x
  2. Step 2: Convert to fraction form
    103,300.20/154,658.70 = 100,384.20/x
  3. Step 3: Cross multiply
    103,300.20x = 154,658.70 × 100,384.20
  4. Step 4: Simplify right side
    103,300.20x = 15,525,289,872.54
  5. Step 5: Solve for x
    x = 15,525,289,872.54/103,300.20
  6. Step 6: Final answer
    x = 150,292.93

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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.