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Finding the Fourth Proportional to 133,825.37, 200,674.47 and 77,682.68

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Solution

The fourth proportional to 133,825.37, 200,674.47 and 77,682.68 is: 116,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825.37 : 200,674.47 = 77,682.68 : x
  2. Step 2: Convert to fraction form
    133,825.37/200,674.47 = 77,682.68/x
  3. Step 3: Cross multiply
    133,825.37x = 200,674.47 × 77,682.68
  4. Step 4: Simplify right side
    133,825.37x = 15,588,930,677.65
  5. Step 5: Solve for x
    x = 15,588,930,677.65/133,825.37
  6. Step 6: Final answer
    x = 116,487.11

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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.